Write down in terms of n,an expression for the Nth term of the following sequences.
A) 2,5,8,11,14
B) 9,11,13,15,17

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A

There is a common difference d between consecutive terms , that is

d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

Thus the sequence is arithmetic with a₁ = 2 and d = 3, then

[tex]a_{n}[/tex] = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

[tex]a_{n}[/tex] = 3n - 1

B

There is a common difference d between consecutive terms , that is

d = 11 - 9 = 13 - 11 = 15 - 13 = 17 - 15 = 2

Thus the sequence is arithmetic with a₁ = 9 and d = 2 , then

[tex]a_{n}[/tex] = 9 + 2(n - 1) = 9 + 2n - 2 = 2n + 7

[tex]a_{n}[/tex] = 2n + 7

Answer 2

Answer:

so for question a the ans is 3n-1

for question b the ans is 2n+7

Step-by-step explanation:

Question A

using the formula for arithmetic progressikn(a.p) a +(n-1)d, u use this formula because it has a common differnce

a=2, where a is first term or t1

d=t2-t1=5-2=3m where d is common difference

replace the values in the formula

2+(n-1)3

2+3n-3

3n-3+2

3n-1, this is the formula for the nth term

it will be 3n -1

if u try it

3(1)-1=2

3(2)-1=5

3(3)-1=8

3(4)-1=11

3(5)-1=14

Question B

using the formula for a.p, a+(n-1)d

a=9, because it is the first term

d=t2-t1=11-9=2

replace the values in the formula

9+(n-1)2

9+2n-2

2n+9-2

2n +7,this is the formula for the7th term

if u try it

2(1)+7=9

2(2)+7=11

2(3)+7=13

2(4)+7=15

2(5)+7=17


Related Questions

GIVING OUT BRAINLIEST TO THE PERSON WHO GIVES THE CORRECT ANSWER FIRST!!

question: Do these pairs of values (x and y) represent two quantities that are proportional?
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Answer choices:
A.) Yes, because as x increases, y increases.
B.) No, because not all of the pairs represent the same ratio.
C.) Yes, because all of the pairs represent the same ratio.
D.) No, because not all of the x-values can be divided by 2 evenly.​​

Answers

Answer:

I think it's B

Step-by-step explanation:

The first ratio isn't the same as the others. I may be wrong. Please tell me if I'm right or wrong.

B. i’m not quite sure but that’s what i’m leaning to .

i need some help with this

Answers

Lol I’m pretty sure D is right but someone correct me if I’m wrong

What is the hardest part of solving a triangle with 2 sides given for you?

Answers

Answer:

As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.

Step-by-step explanation:

I will give brainliest!!!

Answers

Answer:

Didn't I just do this one?

hmm

It is B btw

Expand and simplify
(2x + 5)2

Answers

Answer:

4x+10

Step-by-step explanation:

Here, and can u be kind enough to answer my recent question

The function y = x 2 - 10x + 31 has a ____
value of ____.

options for the first blank -
A. maximum
B. minimum
options for the second blank -
A. 31
B. 10
C. 6
D. 5

Answers

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

[tex]f(x) = x^2-10x+31[/tex]

Taking first derivative

[tex]f'(x) = 2x-10[/tex]

Now the first derivative has to be put equal to zero to find the critical value

[tex]2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5[/tex]

The function has only one critical value which is 5.

Taking 2nd derivative

[tex]f''(x) =2[/tex]

[tex]f''(5) = 2[/tex]

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

[tex]f(5) = (5)^2-10(5)+31\\=25-50+31\\=6[/tex]

Hence,

The function y = x 2 - 10x + 31 has a minimum  value of 6

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Alejandro buys 2 printer cartridges for $28 each and a printer for $85. He gives the cashier $150. How much change will Alex receive from the cashier?

A
$9

B
$11

C
$19

D
$37

Answers

Answer:

A.9

28x2=56

56+85=141

150-141=9

(−9.3)(6.47)
Can soomeone plsss help me

Answers

The answer for your question is -60.171

40 - 4x greater than it equal to 10

Answers

Answer:40 - 4x >= 10 or x <= 7.5

Step-by-step explanation: hope this helps

I WILLL MARK YOU HAS BRAINLIEST SOMEONE HELPPP

Answers

The answer is the second option 1.4

Answer:

c

Step-by-step explanation:

A parabola can be drawn given a focus of (8, -5) and a directrix of y=-3 . What can be said about the parabola?

Answers

Answer:

The parabola is opening downward.

Jane cuts a foam block along the red line. When she looks at the newly
exposed face, what is the shape of the cross-section?

Answers

I believe the answer is A

2
13) Which value of x makes lines m and n parallel? *
140°
AS AS

040°
O 140°

Answers

140°

hope this helps! :)

John saves $15 every pay check. He gets paid
$225 every paycheck. What percent of his
paycheck does he save?

28%

20%

7%

Answers

Answer:

its 7% present because first u have to do is ...this is present right t means

% =100  first u have to do is u have 15 divided by 225 then you got 0.066666667 then u have to times by 100 because they ask with present then u got 6.66666667 which means almost 7%

Step-by-step explanation:

can u even check my answer right now pls

HELP! READ THE QUESTION DOWN BELOW (PICTURE)

Answers

Answer:

B) -5 and 5

Step-by-step explanation:

Integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One integer is negative and the other is positive.

5.7 g = ? kg
Plase answer

Answers

Answer:

0.0057

Step-by-step explanation:

hope this helps

Answer:

0.0057

Step-by-step explanation:

1 kg is 1 thousand grams, so divide 5.7 by thousand, or add 3 spaceholders before it, and you get 0.0057.

Find the value of each variable in the parallelogram.
X=
Y=

Answers

it’d be x=30 and y=18

What is the area of rectangle FGHK?

Answers

Answer:

36 cm ^2

Step-by-step explanation:

l*b

4cm*9cn

36cm^2

The area of rectangle FGHK is 32.24 square centimeters.

What is rectangular shape?

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

FGHK is a rectangle.

And length = 4 cm.

The area of the rectangle, in diagonal d terms,

= the length x √(d² - l²)

= 4 x √(9² - 4²)

= 4 x 8.06

= 32.24 square centimeters.

Therefore, 32.24 square centimeters are the area of the rectangle.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ2

Type the correct answer in each box. Consider the expressions shown below.
A -7x^2-2x+5
B 7x^2-2x+7
C 7x^2+2x-5

Complete the following statements with the letter that represents the expression.

(3x^2-6x+11)-(10x^-4x+6) is equivalent to expression___ .

(-3x^2-5x-3)-(-10x^2-7x+2) is equivalent to expression___ .

(12x^2+6x-5)-(5x^2+8x-12) is equivalent to expression ___ .

Answers

Answer: 1. A 2. C 3. B

Step-by-step explanation:

Answer:

1 - A, 2 - C, 3 - B

Step-by-step explanation:

The dude above me is right

thanks pal

Find the value of x.

Answers

Answer:

Buffalo

Step-by-step explanation:

jfvjuvf

Answer:

90

Step-by-step explanation:

its a right angle

ms. garcia asked her students to write the following expressions in standard

Answers

Answer:

nice thats my last name but I do not understand the question

Step-by-step explanation:

Answer: what is the main question?

Step-by-step explanation:

Solve 2t-1>15 Please help

Answers

Answer:

C

Step-by-step explanation:

Add 1 to both sides:

2t > 16

Divide 2 to both sides:

t > 8

Answer: t > 8 !

Step-by-step explanation:

Hope this helped ! :)

Daniel bought a new pair of sunglasses for $41.75. The sales tax is 8%. What is the price of thesunglasses after tax is included?

O $38.41

O $47.50

O $45.09

O $3.34

Answers

Answer:

it's 45.09

Step-by-step explanation:

8% of 41.75 is 3.34

3.34 + 41.75 is 45.09

Eloise has a mat that has a length of 8/9 meter and a width of 3/4meter. What is the area of Eloise's mat? Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer: 2/3

Step-by-step explanation:

Eloise has a mat that has a length of 8/9 meter and a width of 3/4meter. The area of Eloise's mat will be gotten by multiplying the length by the width. This will be:

= 8/9 × 3/4

= 24/36

= 2/3

What is the value of x

Answers

the answer is 2.286

Step-by-step explanation:

Similarity of two triangles:

(4/x)=(4+3)/4

x=4/(7÷4) =2.286

The vertices of a polygon are (12, 24), (27, 24), (30, 12), and (6, 12). Find the area of the polygon.

Answers

Answer:

234

Step-by-step explanation:

A(12, 24), B(27, 24), C(30, 12), and D(6, 12)

A and B have same y value of 24, AB // x axis

C and D have same y value of 12, CD // x axis

AB // CD

AB distance = 27 - 12 = 15

CD length = 30 - 6 = 24

AB ≠ CD      ABCD is a trapezoid

Area of trapezoid: (upper base + lower base) x height   / 2

height = y difference of A and D or B and C  24 -12 = 12

Area = (15 + 24) x 12  / 2 = 39 x 12  / 2 = 234

Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax

Answers

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

Find:

Amount of motorcycle

Computation:

Amount of motorcycle = [Amount of tax ] / Tax rate

Amount of motorcycle = [1,437.50] / 0.125

Amount of motorcycle = $11,500

pls help for brainlest

Answers

12/14+-7/14 . =5/14

lol

Taylor can clean pools at a constant rate of 2/5 pools per hour. What is the ratio of pools to hours?

Answers

Answer:1/25

Step-by-step explanation:

1/25 = (2/5)/p. This can be solved by cross-multiplying: p = 25(2/5) = 10. He can clean 10 pools in 25 hours.

Square Root
[tex]f(x) = \sqrt{x} [/tex]
Insert Graph Image here using snipping tool Domain - in interval notation Range - in interval notation X-intercept y- intercept​

Answers

Answer:

Domain: [0,infinity)

Range: [0,infinity)

X-intercept: (0,0)

Y-intercept: (0,0)

Step-by-step explanation:

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