Identify next three numbers in this sequence: 2, 8, 4, 16, 12

Answers

Answer 1
The next three numbers are 48, 44, 176
Answer 2

Answer:

2, 8, 4, 16, 12, 30, 26, 50

Step-by-step explanation:

The first is determinate the different ([tex]d[/tex]) between each consecutive value ([tex]a_n - a_{n-1}[/tex]).

[tex]8 - 2 = 6\\4 - 8 = -4\\16 - 4 = 12\\12 - 16 = -4\\[/tex]

How you can see when the position of the number in the sequence is odd you have to sum a number [tex]6x[/tex] and when the position of the number in the sequence is a even number you have to substract -4.

Why [tex]6x[/tex]? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.

Then for each odd position number in the sequence it's representation is of the form:

[tex]a_{n-1} + 6x = a_n[/tex]

Where [tex]a_{n-1}[/tex] is the number of before, [tex]x[/tex] the odd position of the number in the sequence and [tex]a_n[/tex] is the current value of [tex]a_n[/tex]

So the rest of the sequence is of the next form:

[tex]12 + 6(3) = 30[/tex]

[tex]30 -4 = 26[/tex]

[tex]26 + 6(4) = 50[/tex]

So the final answer is [tex]\{30, 26, 50\}[/tex]


Related Questions

For reviewing purposes

Answers

Answer:

(25-16)/9=

=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)

what is 2 x 5/8 in fractions i need help

Answers

Answer:

5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.

5/8 x 2 = 1.25

in decimal form.

Step-by-step explanation:

The solution of the fraction is,

⇒ 5 / 4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The fraction is,

⇒ 2 × 5/8

Now, We can simplify as;

The fraction is,

⇒ 2 × 5/8

Multiply as;

10 / 8

⇒ 5 / 4

Thus, The solution of the fraction is,

⇒ 5 / 4

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#SPJ5

59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder

Answers

Answer:

14 R3

Step-by-step explanation:

the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56

Answer: 14R3

Step-by-step explanation:

find the amount if £1,500 is saved for 3and1/2 years at 10percent per annum​

Answers

Answer:

To calculate a monthly interest payment based on a per annum interest rate, multiply the principal basis for the loan by the annual interest rate. ...

Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month.

Step-by-step explanation:

Can you help me plzzzzzzz

Answers

Answer:

Step-by-step explanation:u have to add x+6 = ur answer there u go

For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc

Answers

Answer:

the answer is c

Step-by-step explanation:

cos30 = sin60

then cos30 - sin 30 = 0

c is the only choice which can satisfy in the problem

Frank pays 2.85 for a bag of 15 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.

Answers

Answer:

19 cents because 2.85/15=0.19ct   and now we round it up its 20cents!

Step-by-step explanation:

Hope this helps!

Answer:

The answer is $0.19

Step-by-step explanation:

Divide 2.85 by 15.

2.85 ÷ 15 = 0.19

Line FG passes through points (0, 2) and (3, 2). Line F′G′ is formed by dilating line FG by a factor of 2 about the origin. Which statement is true? Group of answer choices Line F′G′ is the original line. Line F′G′ passes through the origin. Lines FG and F′G′ are parallel to each other. Lines FG and F′G′ are perpendicular to each other.

Answers

Answer:

See the picture, it explains the correct choice is C

Step-by-step explanation:

a) Line F′G′ is the original line. Falseb) Line F′G′ passes through the origin. Falsec) Lines FG and F′G′ are parallel to each other.  TRUEd) Lines FG and F′G′ are perpendicular to each other. False

a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box

Answers

The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].

The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:

volume = length x width x height

            = area x height

Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.

Then;

4l + h = 108

Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.

So that;

4(20) + 28 = 80 + 28

                 = 108 inches

Thus;

maximum volume = area of the square base x height

                        = 400 x 28

maximum volume = 11200 [tex]in^{3}[/tex]

The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].

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Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

3095.6 ft³

Step-by-step explanation:

Volume cone = 1/3(πr²h)

                      = 1/3(π(13.9)²(15.3))

                      = 1/3(π(193.21)(15.3))

                      = 1/3(2956.113π)

                      = 985.371π ≈ 3095.6 ft³

-Chetan K

How do you evaluate (x+3)2 ?

Answers

Step-by-step explanation:

[tex]x = 1[/tex]

[tex] [/tex]

HOPE It Helps it;D

Answer:

 2 • (x + 3)

Step-by-step explanation:

Which statement is true?


−2.4<−2.40

−2.4>−2.40

−2.4≠−2.40

−2.4≤−2.40

Answers

Answer: −2.4≤−2.40

Step-by-step explanation:

Tough one.  I judge −2.4 ≤−2.40 to be the correct answer.  The difference in significant digits only tells us we don't know for certain that they are equal.  But 2.4 MAY be equal, or less than 2.40.  None of the others options allows for the fact that they may be equal.

I need help on these two PLEASE!!

Answers

Answer:

22.

x=35

y=8

23.

x=30

y=50

Step-by-step explanation:

How to multiply decimal numbers.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation: Hope it helps!!!!

Help!?! I have no clue how to solve it :/

Answers

3! (Three factorial) is the same as 3 • 2 • 1. So 3! = 6

The lines represented by the equations 5y - x = 5 and y - x = 1 are

Answers

Answer:

Same line

Step-by-step explanation:

5y - x = 5                           y - 1/5x = 1

5y = x + 5                           y = 1/5x + 1

5y/5 = x/5 + 5/5

 y =  1/5x + 1

8. Expand, then simplify: (2 Points) (2a – 3) (a2 + 3a - 5) ​

Answers

Hello

just a second

people reading this please complete because you will help me a lot.

I am an Indian girl my name is Lamer and am 13 years old.

I Just got this new device after working at a farm for 2 years.

I used to use brainly at my friend device she had money to buy brainly plus.

I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.  

Use the graph to determine which statement describes f(x).
5.
y=f(x)
-5
5
--5
O A. f(x) does not have an inverse function, because its graph fails the
vertical line test.
O B. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
c. f(x) has an inverse function, because its graph passes the
horizontal line test.

Answers

Should be D
An inverse of a graph is reflected over y=x

Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0

Answers

Answer: Choice D

The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20

========================================================

Explanation:

Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.

Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2

Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).

A table like the one shown below might be handy to keep track of all the terms.

Answer:

D

Step-by-step explanation:

Simplify the given equation by dividing all terms by 2:

x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0

Roots are:

- 2.5, -2, 2

Correct choice is D


Francis's rectangular lawn has a length of 2x + 1 feet and a width of x + 1 feet. She plants a square garden with a side length of x + 2 feet
in the lawn. What is the area of the lawn not covered by the garden?

Answers

Answer:What is the slope of the line through (-5,-10)(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and (-1,5)(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?

Step-by-step explanation:

Answer:x^2-x-3

Step-by-step explanation:

step 1-find area of rectangular lawn

(2x+1)(x+1)=2x^2+3x+1

step 2-find area of garden

(x+2)(x+2)=x^2+4x+4

step 3- subtract the two

=x^2-x-3

There are `15` pieces of fruit in a bowl, and `6` of them are apples.



What percent of the pieces of fruit in

Answers

Answer:

40% of the pieces of fruit in the Bowl are apples.

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

⇒ Total number of pieces of fruit in a bowl = 15 pieces

and

Number of pieces of apple in a bowl = 6 pieces.

To find the percentage of the pieces of fruit in the Bowl are apples.

=

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Answer:

percent of apples = 40%

percent that is not apple = 60%

Step-by-step explanation:

percent of apples = 6/15 × 100% = 40%

percent that is not apple = 9/15 × 100% = 60%

can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50

Answers

hope it helps!!!!!!!!!!!!!!!!!!!!!!

Solve.

x−(−2 3/8)=−1/4

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

X= ??

Answers

Sorry if I’m wrong but I think the answer is x= -2 5/8
Different form : -21/8
Decimal form: -2.625

What is the mass of 64 mL of a liquid with a
density of 2.7 g/mL?

Answers

Answer:

172.8

Step-by-step explanation:

to get density its mass over volume so if you mutiply volume by density you get the mass

What is the equation for the line in slope-intercept form?




Enter your answer in the box. I'll give you 100 points

Answers

Answer:

y = -4x + 5.

Explanation:

Count rise/run to find the slope, find the y-intercept.

Answer:

y = -4x + 3

Step-by-step explanation:

First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].

5-13/0-(-2)

-8/2

-4

Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.

Third, input everything we found.

y = -4x + 5

Best of Luck!

the decimal equivalent of 14/26

Answers

Answer:   0.53846153846154

Step-by-step explanation:   you do

= 14/26

= 14 ÷ 26

= 0.53846153846154

4(x+6)=3x-7 please could you help me

Answers

Hello!

Let's use the Distiributive property:

4(x+6)

4x+24

4x+24=3x-7

Move all the variables to the left:

4x-3x=-7-24

x=-31

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

12 liters to quarts rounded to nearest hundredth

Answers

Answer:

12.6

Step-by-step explanation:

have a wonderful day :)

Solve for v.

–1 = 4v − 13

v =

Answers

Answer:

-1+13=4v

12=4v

v=3

....

.............

-1 = 4v - 13
add 13 on both sides
-1 + 13 = 4v - 13 + 13
12 = 4v
divide by 4 on both sides
12/4 = 4v/4
v = 3

how can you solve this (3/4 - 1/5)

Answers

Answer:

11/20

Step-by-step explanation:

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