Find the 96th term of the arithmetic sequence - 16, - 28, - 40, ...

1124.

Step-by-step explanation:

The common difference (d) is - 16 - (-28) = 12, (also - 28 - (-40) = 12).

The nth term of an A. S. is a1 + d (n - 1) where a1 = first term, d=common difference.

so the 96th term of the given A. S. is:

-16 + 12 (96 - 1)

= - 16 + 12*95

= 1124.