Question

Find the common ratio for the geometric sequence defined by the formula an = 40(√2)n-1A. 2B.√2C.1/2D.4

Answer 1

Geometric Sequence

$\begin{gathered} a_n=a_1\cdot r^{n-1} \\ \end{gathered}$

Where:

$\begin{gathered} a_n=n^{th}\text{ term} \\ a_1=first^{}\text{ term} \\ r=\text{ common ratio} \end{gathered}$$an=40\cdot\sqrt[]{2}^{n-1}$

Therefore

$a_1=40$$r=\sqrt[]{2}$

Answer: Letter B