Question

Write an equation that represents the ninth term of the arithmetic sequence below an=a1+(n-1)d

2,-1,-4,-7

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the ninth term of the arithmetic sequence, we need to use the formula:

an = a1 + (n - 1)d

Here, a1 represents the first term, n represents the term number, and d represents the common difference.

In the given arithmetic sequence 2, -1, -4, -7, the first term (a1) is 2, and the common difference (d) is -3.

Substituting these values into the formula, we get:

a9 = 2 + (9 - 1)(-3)

Simplifying further:

a9 = 2 + 8(-3)

a9 = 2 + (-24)

a9 = -22

Therefore, the ninth term of the arithmetic sequence is -22.