Question

If a geometric sequence has a1 = 256 and a8 = 512, find the exact value of the common ratio ????.

Answer 1

Answer:r=1.104

Explanation:

Given

First term a_1=256

`a_8=512`

Also
`a_8` can also be written in

`a_8=ar^7`

where r=common difference

`512=256r^7`

`2=r^7`

`r=\left ( 2\right )^{(1)/(7)}`

r=1.104