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 = 9n

Answer 1

To find the first four terms of the sequence defined by the formula \( a_n = 9n \), we can substitute \( n \) with the values 1 through 4:

1. For \( n = 1 \): \[ a_1 = 9 \cdot 1 = 9 \]

2. For \( n = 2 \): \[ a_2 = 9 \cdot 2 = 18 \]

3. For \( n = 3 \): \[ a_3 = 9 \cdot 3 = 27 \]

4. For \( n = 4 \): \[ a_4 = 9 \cdot 4 = 36 \]

Thus, the first four terms of the sequence are:

• \( a_1 = 9 \)
• \( a_2 = 18 \)
• \( a_3 = 27 \)
• \( a_4 = 36 \)

In summary, the first four terms are: 9, 18, 27, 36.