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.

Question

an = 2n + 7

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Answer 1

To find the first three terms of the sequence defined by the formula \( a_n = 2n + 7 \), we will evaluate the expression for \( n = 1 \), \( n = 2 \), and \( n = 3 \).

1. For \( n = 1 \): \[ a_1 = 2(1) + 7 = 2 + 7 = 9 \]

2. For \( n = 2 \): \[ a_2 = 2(2) + 7 = 4 + 7 = 11 \]

3. For \( n = 3 \): \[ a_3 = 2(3) + 7 = 6 + 7 = 13 \]

Thus, the first three terms of the sequence are:

\[ 9, 11, 13 \]