19.5k views
2 votes
The first term of a geometric sequence is 2, and the multiplier is 3. What is the 8th term of the sequence?

User Bertday
by
9.2k points

1 Answer

4 votes

8th\text{ term = }4374Step-by-step 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}*3^(8-1)
\begin{gathered} 8th\text{ term = 2}*3^7=\text{ 2}*2187 \\ 8th\text{ term = 4374} \end{gathered}

User Ryan Tofteland
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories