Question

Find the first three terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.

Answer 1

Solution:

Given that the sequence is defined as;

$a_n=3^n$

When;

$\begin{gathered} n=1; \\ \\ a_1=3^1=3 \\ \\ n=2; \\ \\ a_2=3^2=9 \\ \\ n=3; \\ \\ a_3=3^3=27 \end{gathered}$

Thus, the sequence is;

$3,9,27$