Question

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 = –7n − 5
first four terms

Answer 1

[AI-generated answer — Bot GPT 3.5]

If we plug in n = 1, we get:

a1 = -7(1) - 5 = -7 - 5 = -12

If we plug in n = 2, we get:

a2 = -7(2) - 5 = -14 - 5 = -19

If we plug in n = 3, we get:

a3 = -7(3) - 5 = -21 - 5 = -26

If we plug in n = 4, we get:

a4 = -7(4) - 5 = -28 - 5 = -33

Therefore, the first four terms of the sequence are: -12, -19, -26, -33.

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 = 2(3)n
first four terms

Answer 3

[AI-generated answer — Bot GPT 3.5]

If we plug in n = 1, we get:

a1 = 2(3)(1) = 6

If we plug in n = 2, we get:

a2 = 2(3)(2) = 12

If we plug in n = 3, we get:

a3 = 2(3)(3) = 18

If we plug in n = 4, we get:

a4 = 2(3)(4) = 24

Therefore, the first four terms of the sequence are: 6, 12, 18, 24.

Answer 4

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(2)n

Answer 5

[AI-generated answer — Bot GPT 3.5]

If we plug in n = 1, we get:

a1 = 3(2)(1) = 6

If we plug in n = 2, we get:

a2 = 3(2)(2) = 12

If we plug in n = 3, we get:

a3 = 3(2)(3) = 18

If we plug in n = 4, we get:

a4 = 3(2)(4) = 24

Therefore, the first four terms of the sequence are: 6, 12, 18, 24.