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