find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16​

Answers

Answer 1

Step-by-step explanation:

given the geometric sequence 2, -4, 8, -16, ...

a1 = 2

r = -4/2 = -2

find : a9 and a15

solutions:

an = a1. r^(n-1)

=> a9 = 2. (-2)^(9-1)

= 2. (-2)^8

= 2. 2^8

= 2^9

= 512.

=> a15 = 2. (-2)^(15-1)

= 2. (-2)^14

= 2. 2^14

= 2^15

= 32,768

Answer 2

Step-by-step explanation:

Hey there!

The given geometric sequence is: 2, -4, 8, -16.

The;

a1 = 2

Common ratio (r) = T2/T1

= -4/2

= -2

Now;

Use general formula of geometric sequence;

[tex]tn = {a1.r}^{n - 1} [/tex]

Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.

Then;

[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]

or, t9 = 2*256

Therefore, t9 = 512.

Again;

[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]

or, t15= 2*16384

Therefore, t15 = 32768.

Hope it helps!


Related Questions

A football is thrown from the stadium. The height of this football can be represented by the polynomial -16t2 +32t + 20, where t is the time in seconds. Find the factored form of the polynomial.

A) 4(2t+5)(2t-1)
B) 4(2t-5)(2t+1)
C) -4(2t-5)(2t+1)
D) -4(2t+5)(2t-1)​

Answers

Answer:

C

Step-by-step explanation:

related equation

-16t^2 + 32t + 20 = 0

-4t^2 + 8t + 5 = 0

Δ/4 = 16 + 20 = 36

t1 = (-4 + 6)/-4 = -1/2

t2 = (-4 - 6)/-4 = 5/2

-16(t+1/2)(t-5/2)

-16(2t+1/2)(2t-5/2)

-4(2t+1)(2t-5)

A man drove 60 km at 30 km/h, 60 km at 40 km/h and 60 km at 50 km/h. What was his average speed for the whole journey?​

Answers

Answer:

the above answer help you guy.

h

,

Are the two triangles similar. If so, State how

Answers

Answer:

SAS

Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)

The area of a rectangle is 35ft^2 , and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

1228 is your answer

Step-by-step explanation:

A circle has a circumference of 8, It has an arc of length start fraction, 32, divided by, 5, end fraction. What is the central angle of the arc, in degrees?

Answers

Answer:

The central angle of the arc is 288 degrees.

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that The circumference of the circle subtend a central angle of 360 degrees

so using a proportion

Find out the central angle for an arc of length 32/5

Write 2 x 8 x 64 in index notation with the smallest base.

Answers

Answer:

Step-by-step explanation:

Prime factorize 8 and 64

8 = 2* 2 * 2 = 2³

64 = 2*2*2 *2*2*2 = 2⁶

2*8*64 = 2* 2³ *2⁶ = 2¹⁺³⁺⁶ = 2¹⁰

In exponent multiplication, if base are same, then add the exponents.

[tex]\text{Solve for 'x'.}\\\\3x + 15 = 33\\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x=6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=6

Step-by-step explanation:

3x+15=33

or as, 3x=33-15

or as, 3x=18

x=18/3=6

so we got 6 is the answer

Determine the area of an obtuse triangle with a height
of 11 cm and a base of 22 cm

Answers

Step-by-step explanation:

A

=

h

b

b

2

=

11

·

22

2

=

121

cm²

The area of the obtuse triangle with a height of 11 cm and a base of 22 cm is 121 cm².

To determine the area of an obtuse triangle, we can use the formula for the area of a triangle, which is given by:

Area = (1/2) * base * height

In this case, the height of the triangle is given as 11 cm and the base is given as 22 cm.

Substituting these values into the formula, we have:

Area = (1/2) * 22 cm * 11 cm

Calculating this expression, we get:

Area = (1/2) * 242 cm²

Simplifying further, we have:

Area = 121 cm²

The area of a triangle is calculated by multiplying half of the base by the height. In this case, the given height is 11 cm and the base is 22 cm. Substituting these values into the formula, the area of the obtuse triangle is calculated to be 121 cm².

To learn more about area click on,

https://brainly.com/question/8397982

#SPJ2

During the last ten years oliver has played 1200 games of chess oliver has drawn 6% of the games he has lost 33% of the game calculatehow many games og chess oliver won

Answers

Answer:

6+33=39 now we subtract from 100

100-39=61

He won 61 percent of the games

now we multiply 1200*0.61=732

so he won 732 of the 1200 games

Hope This Helps!!

2. (04.02 MC)
The polygons below are similar. Find the value of y. (5 points)
B
8
C
6
در این
مساب
F 6
G
10
A
Z
E 12
H
0 4.5
07.5
12
16

Answers

Answer:

polygens

Step-by-step explanation:

Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a near by tree casts a shadow that is 2.4 meters long. How tall is the tree? (Give your answer in tenths.)​

Answers

13.6. Use scale factoring. 1.7/0.3 = x/2.4

If A = {1, 2, 3} the number of non-empty proper subsets are ​

Answers

Answer:

The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.

Which of the following graphs is the solution set of -10 < 3x - 4<8?

Answers

Answer:

The third one

Step-by-step explanation:

The image above is the explanation, hopefully its help

need help please thanks

Answers

Answer:

C

Step-by-step explanation:

All angles in a triangle add up to 180°.

63 + 52 = 115°.

180 - 115 = 65°, so part of the answer is done, y = 65°.

The angle next to y is a vertical angle.

61 + 65 = 126°.

180 - 126 = 54°.

So, x = 54°, y = 65°.

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle.

Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20

Answers

Answer:

The length of the arc is 10 pi

Step-by-step explanation:

Mathematically, the length of an arc is calculated as;

theta/360 * 2 * pi * r

theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)

r is the circle radius which is 20 inches

so we have the length of the arc as;

90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi

Find the Value of x a.86 b.79 c.65 .72

Answers

Answer: D

Step-by-step explanation:

360° - 90° - 90° - 108° = 72°

(Sum of angles in a quadrilateral = 360°)

the question is on the image.​

Answers

Hi there!

[tex]\huge\boxed{\text{22 cm}}[/tex]

We know that:

Area of a rectangle = l × w

The areas are the same, so:

3x · 4 = 6(3x - 2.5)

Simplify:

12x = 18x - 15

Solve for x:

15 = 6x

x = 2.5

Plug in this value of x to find the perimeter of rectangle B:

P = 2l + 2w

l = 6

w = 3(2.5) - 2.5 = 5

P = 2(6) + 2(5) = 22 cm

I have a lot of algebra problems. Someone help me even with this one please!

Answers

X -Y =44 will represent the number of glasses of ice tea .

I NEED HELP PLZ ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

-3

Step-by-step explanation:

If the equation is y = -5x -3, the y intercept is -3, and the slope is -5x. The number without a variable next to it, of any sort is always the y-intercept.

if a real estate company gives 3% commission on to it's agents. if an agent sold a piece of land for 12,50,000, how much cccommision did the agent get ?​

Answers

Answer:

$37500

Step-by-step explanation:

Given data

Selling price=$1250000

Commission= 3%

Let us find 3% of 1250000

=3/100*1250000

=0.03*1250000

=$37500

Hence the commission will be $37500

A clínica odontológica Dentes Felizes calcula o valor de seus atendimentos a partir de uma taxa fixa de R$ 100,00 e R$ 60,00 por cada obturação.

Answers

Answer:

$ 100 + $ 60 y

Step-by-step explanation:

The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.

Let the total number of fillings is y.

The total cost of fillings = $ 60 x y =  $ 60 y

The total cost of the treatment = $ 100 + $ 60 y

Can someone help me with this math homework please!

Answers

Answer:

2 and 3.

Step-by-step explanation:

2. and 3.

the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.

1. can't be an option as output values depend upon the input values and hence not independent

4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.

5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.

Answer:

(B, C, D)

Step-by-step explanation:

This scenario can be represented using this equation:

y = 3x + 7

y = total paintings after # of weeks (dependent variable)

x = # of weeks (independent variable)

3 = 3 paintings per week

7 = initial number of paintings

Let's evaluate each answer choice:

"The independent variable is represented by the ouput values"

No, this is wrong. The indepedent variable is the input values.

"The dependent variable is the total number of paintings"

This is correct. The total # of paintings is the output value, or the dependent variable.

"The total number of paintings depends on the number of weeks that have passed"

This is correct. The total # of paintings is the output value, or the dependent variable, because it depends on the # of weeks that pass by.

"This scenario is a function because for each week that passes, there will be exactly one total number of paintings"

This is correct. There is only one possible output for each input.

"The number of weeks is the output value"

No, this is wrong. The total # of paintings is the output value, not the # of weeks.

Hope it helps (●'◡'●)

Find the value of x.

Answers

Answer:

The value of x is 18°

Step-by-step explanation:

Sum of the angles are 180°

3x+126=180

3x=180-126

3x=54

x=18

Answered by GAUTHMATH

A circle has a central angle of 6 rad that intersects an arc of length 14 inches. Which equation find the length of the radius, R, of the circle?

Answers

Answer:

Step-by-step explanation:

θ=l/r

where θ is central angle in degrees.

l=length of arc.

r=radius of circle.

6=14/r

6r=14

r=14/6=7/3 =2 1/3 inches.

Someone help?????????????

Answers

Answer:

D

Step-by-step explanation:

f(x)=x²+3x+5

put x=a+h

f(a+h)=(a+h)²+3(a+h)+5

=a²+2ah+h²+3a+3h+5

A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?

Answers

im sorry i dont know the answer

Complete the steps to solve the inequality:

0.2(x + 20) – 3 > –7 – 6.2x

Use the distributive property:
Combine like terms:
Use the addition property of inequality:
Use the subtraction property of inequality:
Use the division property of inequality:




0.2x + 4 – 3 > –7 – 6.2x

0.2x + 1 > –7 – 6.2x

6.4x + 1 > –7

6.4x > –8

Answers

Answer:

x>-1.25

Step-by-step explanation:

0.2x+4-3>-7-6.2x

0.2x+1>-7-6.2x

0.2x+6.2x>-7-1

6.4x>-8

x>-1.25

or x>-5/4,x>-1 1/4, xE(-1.25, infinite)

The solution to the inequality is x > -1.25.

The complete steps are:

the distributive property: 0.2x+4-3>-7-6.2x

Combine like terms: 0.2x+1>-7-6.2x

the addition property of inequality: 0.2x+6.2x +1 >-7 => 6.4x + 1 > –7

the subtraction property of inequality: 6.4x > -7 - 1 => 6.4x>-8

the division property of inequality: (6.4x)/6.4 > (-8)/6.4 => x>-1.25

Here, we have,

To solve the inequality 0.2(x + 20) - 3 > -7 - 6.2x,

let's go through the steps:

Step 1: Use the distributive property:

0.2x + 4 - 3 > -7 - 6.2x

Step 2: Combine like terms:

0.2x + 1 > -7 - 6.2x

Step 3: Use the addition property of inequality:

0.2x + 1 + 6.2x > -7

6.4x + 1 > -7

Step 4: Use the subtraction property of inequality:

6.4x > -7 - 1

6.4x > -8

Step 5: Use the division property of inequality:

Divide both sides of the inequality by 6.4 to isolate x:

(6.4x)/6.4 > (-8)/6.4

x > -8/6.4

Simplifying further, we have:

x > -1.25

Therefore, the solution to the inequality is x > -1.25.

To learn more on inequality click:

https://brainly.com/question/28841069

#SPJ5

. Evaluate the function rule for the given value.
y = 4.2xfor x = -6

Answers

Answer:

y= 4 x 2(6)

y= 4 x -12

y= -48

Step-by-step explanation:

y= 4 x 2(6)

y= 4 x -12

y= -48

Pa-follow po

Thank you

10 y is directly proportional to the cube of x. Given that y = 1512 when x = 6, find the equation for the y in terms of x.​

Answers

Answer:

[tex]{ \tt{y \: \alpha \: {x}^{3} }} \\ { \tt{y = k {x}^{3} }} \\ { \bf{k \: is \: a \: proportionality \: constant}} \\ { \tt{1512 = (k \times {6}^{3}) }} \\ { \tt{k = 7}} \\ { \boxed{ \bf{y = 7 {x}^{3} }}}[/tex]

Other Questions
For P = {5, 12, 13, 14), Q = {2, 7, 11), and R = {4, 7, 8, 11}, find PU (Q n R). A moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration a with arrow = (4.60 m/s2)i hat + (7.00 m/s2)j. At time t = 0, the velocity is (4.3 m/s)i hat. What are magnitude and angle of its velocity when it has been displaced by 11.0 m parallel to the x axis? Which best describes a molecule?a unit made of different kinds of elementsa unit made of only one kind of elementa unit made of two or more atomsa unit made of a single atom When computing the caloric composition of food, one must remember thatcarbohydrates contain calories per gram, fats contain calories per gramand protein contains calories per gram.1) 4.4,92) 9.4.43) 4.6.94) 4.9.45) 9.6.4 The picture below shows the satellite image of ocean surfaces on Earth at Locations A, B, C, and D.Which of these graphs best models the waves in the four locations? (100 points) Does this graph show a function? Explain how you know. A. No; there are yvalues that have more than one x-value.O B. No; the graph fails the vertical line test.O C. Yes; there are no yvalues that have more than one x-value.O D. Yes; the graph passes the vertical line test.HELP PLSS if a real estate company gives 3% commission on to it's agents. if an agent sold a piece of land for 12,50,000, how much cccommision did the agent get ? Find x. Simplify completely.X925x = [?] Use examples from the lessons and your own personal experiences to compose at least one well-developed paragraph on the following:In a federal system of government (also known as a federation), the local and state governments share power with the central government, though the central government has final authority. Explain how this is different from a confederation. explain the main sects of islam religions ? which points lie in the second quadrant? check all that apply. Fill in the blanks and take 22 points: Can any one you help me with this ? The quadrilateral KLMN is dilated with the center of dilation located at point M. Which statement is accurate?1. The scale factor is 3, which means the length of the image of segment KL will be 1/3 times as long.2. The scale factor is 1/3, which means the length of the image of segment KL will be 1/3 times as long.3. The scale factor is 3, which means the length of the image of segment KL will be 3 times as long.4. The scale factor is 1/3, which means the length of the image of segment KL will be 3 times as long. Predict what will happen to the concentration of pyruvate, NADH and H+ when the Krebs cycle is stopped by arsenic Images formed by a convex mirror are always In the Christian Church, what are the two ceremonies which are carried out to show a persons commitment to their faith? help plzzzzzzzzzzzzzzzzzanswers:build, formacrosscarrystarwronglysayagainstfull ofwritewithout Cng ty T va a vo sn xut mt loi sn phm mi vi nh mc gi my l 2 gi/sn phm. Ti liu v sn phm trong nm nh sau (ng):Chi ph nguyn vt liu trc tip/sp30.000Chi ph nhn cng trc tip/sp27.000Chi ph sn xut chung/sp12.000(25% l bin ph)Bao b/sp ( khu SX)5.000Lng qun l v bn hng83.300.000Qung co34.700.000Ch ph khc bng tin30.000.000Vn u t bnh qun1.200 triuROI mong mun16%Tng s gi my hot ng cho sn xut40.000 giYu cu:1. Hy nh gi bn theo bin ph?2. sn xut sp mi ny, Cty t ch to 1 chi tit lp vo sn phm vi thng tin nh sau:- Bin ph sn xut ca Chi Tit = 40% bin ph sp- KH TSC cho vic sn xut chi tit l 42.000.000- Chi ph qun l chung phn b cho vic sn xut chi tit l 19.040.000.C mt doanh nghip khc n cho hng chi tit vi gi ch bng 70% so vi gi thnh cty t sn xut v m bo s lng, cht lng theo yu cu. Cc phng tin sn xut chi tit c th cho thu 13.000.000/nm. Cty nn t sn xut hay mua ngoi? Explain which emotions are desirable and why others are not.