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3 years ago

Write a formula for the sequence of cube numbers: 1, 8, 27, 64, ….

Mathematics

1 answer:

Marianna [84]3 years ago

4 0

Answer: $n^3$ , where n = 1,2,3,4,.....

Step-by-step explanation:

The given sequence : 1, 8, 27, 64, ….

We observe that the terms are perfect cubes of consecutive integers (starting from 1) .

Terms can be written as:

First term = $a_1=1=1^3$

Second term= $a_2=8=2^3$

Third term = $a_3=27=3^3$

Fourth term = $a_4=64=4^3$

Thus , for any nth term ,the formula for the sequence is : $n^3$ , where n = 1,2,3,4,.....

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zimovet [89]

Answer:

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Step-by-step explanation:

To solve this problem you would multiply -2.5 by 5.

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3 years ago

How to graph y=-1/2x-1 on a graph

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Answer:

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3 years ago

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2 years ago

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sashaice [31]

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3 years ago

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches

Fudgin [204]

Answer:

$x=7.2$

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

$\text{Surface area of rectangular prism}=2(wl+lh+hw)$ , where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

$lwh=2(wl+lh+hw)$

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

$9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)$

Let us solve for x.

$36x=2(36+9x+4x)$

$36x=2(36+13x)$

$36x=72+26x$

$36x-26x=72+26x-26x$

$10x=72$

$x=\frac{72}{10}\\\\x=7.2$

Therefore, the value of x is 7.2 inches.

6 0

3 years ago