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 = –7n − 7 , ,

Answer 1

To find the first three terms of the sequence defined by the formula \( a_n = -7n - 7 \), we will substitute \( n = 1, 2, \) and \( 3 \) into the formula.

1. For \( n = 1 \):
\[
a_1 = -7(1) - 7 = -7 - 7 = -14
\]

2. For \( n = 2 \):
\[
a_2 = -7(2) - 7 = -14 - 7 = -21
\]

3. For \( n = 3 \):
\[
a_3 = -7(3) - 7 = -21 - 7 = -28
\]

Thus, the first three terms of the sequence are:
\[
-14, -21, -28
\]