Question

The first term of a geometric sequence is 2, and the multiplier is 3. What is the 8th term of the sequence?

Answer 1

$8th\text{ term = }4374$Explanation:

First term = 2

multiplier = common ratio = 3

For geometric sequence:

$\begin{gathered} \text{nth term = ar}^{n-1} \\ \text{where n = number of terms} \\ a\text{ = first term} \\ r\text{ = common ratio} \end{gathered}$

For 8th term, n = 8

$8th\text{ term = 2}\times3^{8-1}$$\begin{gathered} 8th\text{ term = 2}\times3^7=\text{ 2}\times2187 \\ 8th\text{ term = 4374} \end{gathered}$