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.

an = 4^n

Answer 1

To find the first three terms of the sequence defined by \( a_n = 4^n \), we will calculate the values of \( a_1 \), \( a_2 \), and \( a_3 \):

1. For \( n = 1 \):
\[
a_1 = 4^1 = 4
\]

2. For \( n = 2 \):
\[
a_2 = 4^2 = 16
\]

3. For \( n = 3 \):
\[
a_3 = 4^3 = 64
\]

Thus, the first three terms of the sequence are:

\[
\boxed{4, 16, 64}
\]