Question

Calculate as for the geometric sequence in which a 8 and the common ratio is 1.5.O A 40.5OB. 60.75OC. 4,096o D. 20,736

Answer 1

Given:

First-term, a=8

The common ratio is r=1.5

To find the 5th term in a geometric sequence:

Using the nth term formula of a geometric sequence,

`\begin{gathered} a_n=ar^(n-1) \\ a_5=8(1.5)^(5-1) \\ =8(1.5)^4 \\ =40.5 \end{gathered}`

Hence, the answer is,

`a_5=40.5`