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

Step-by-step 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

$512=256r^7$

$2=r^7$

$r=\left ( 2\right )^{\frac{1}{7}}$

r=1.104