Question

PLEASE HELP ME! For a geometric sequence, if a1 = 2 and a5 = 1250, what is the value of r?​

Answer 1

Answer: r = 5

Steps:

$a_n=ar^{n-1}$

1. add Values to formula

$1250=2r^{5-1}$

2. get r alone

$\frac{1250}{2}=\frac{2r^{4}}{2}$  ➜ $625= r^4$
3. get rid of the exponents

$\sqrt[4]{625}= \sqrt[4]{r^4}$ ➜ $\sqrt[4]{625}= r=5$

r = 5