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 = 3n

Answer 1

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.

an = 9n + 8

Answer 2

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.

an = 3(3)n

Answer 3

Using the formula an = 3n, we can find the first five terms of the sequence:

When n = 1, a1 = 3(1) = 3
When n = 2, a2 = 3(2) = 6
When n = 3, a3 = 3(3) = 9
When n = 4, a4 = 3(4) = 12
When n = 5, a5 = 3(5) = 15

Therefore, the first five terms of the sequence are 3, 6, 9, 12, and 15.

Answer 4

Using the formula an = 9n + 8, we can find the first four terms of the sequence:

When n = 1, a1 = 9(1) + 8 = 9 + 8 = 17
When n = 2, a2 = 9(2) + 8 = 18 + 8 = 26
When n = 3, a3 = 9(3) + 8 = 27 + 8 = 35
When n = 4, a4 = 9(4) + 8 = 36 + 8 = 44

Therefore, the first four terms of the sequence are 17, 26, 35, and 44.

Answer 5

Using the formula an = 3(3)n, we can find the first four terms of the sequence:

When n = 1, a1 = 3(3)(1) = 3(3) = 9
When n = 2, a2 = 3(3)(2) = 3(6) = 18
When n = 3, a3 = 3(3)(3) = 3(9) = 27
When n = 4, a4 = 3(3)(4) = 3(12) = 36

Therefore, the first four terms of the sequence are 9, 18, 27, and 36.