Question

Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1. an = 6n + 1

Answer 1

To find the first five terms of the sequence defined by the formula \( a_n = 6n + 1 \), we will substitute \( n \) with values from 1 to 5.

1. For \( n = 1 \):
\[
a_1 = 6(1) + 1 = 6 + 1 = 7
\]

2. For \( n = 2 \):
\[
a_2 = 6(2) + 1 = 12 + 1 = 13
\]

3. For \( n = 3 \):
\[
a_3 = 6(3) + 1 = 18 + 1 = 19
\]

4. For \( n = 4 \):
\[
a_4 = 6(4) + 1 = 24 + 1 = 25
\]

5. For \( n = 5 \):
\[
a_5 = 6(5) + 1 = 30 + 1 = 31
\]

Thus, the first five terms of the sequence are:
\[
7, 13, 19, 25, 31
\]