Question

Find the 61st term of the arithmetic sequence -12,-28,-44...

Answer 1

The 61st term of this arithmetic sequence is -972.

Explanation:

The formula for finding any term in an arithmetic sequence is
`t_(n)` =
`t_(1)` + (n - 1)*d. In your case, when you plug the numbers into the formula, you'll get:

`t_(61)` = -12 + (61 - 1)*(-16) --> "n" is the number of the term that you're solving for,

`t_(61)` = -12 + 60*(-16)
`t_(1)` is the first term, which is -12, and "d" is the

`t_(61)` = -12 + -960 common difference, or how the number changes

`t_(61)` = -972 when you go from one term to another, which is -16

in this problem.

Hope this helps,

Hedgehog68