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

Question

an = 4n

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Answer 1

To find the first four terms of the sequence defined by the formula \( a_n = 4n \), we can substitute the values of \( n \) starting from 1.

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

2. For \( n = 2 \): \[ a_2 = 4(2) = 8 \]

3. For \( n = 3 \): \[ a_3 = 4(3) = 12 \]

4. For \( n = 4 \): \[ a_4 = 4(4) = 16 \]

Thus, the first four terms of the sequence are: \[ 4, 8, 12, 16 \]