Find the 87th term of the arithmetic sequence 12, comma, 0, comma, minus, 12, comma, point, point, .12,0,−12,...

The given sequence is an arithmetic sequence, which means it increases or decreases at a constant rate. In this case, it decreases by 12 each time.

The formula for the nth term of an arithmetic sequence is:

a_n = a_1 + (n - 1) * d

where: a_n is the nth term a_1 is the first term d is the common difference

In this case, a_1 = 12, d = -12, and n = 87.

Substituting these values into the formula gives:

a_87 = 12 + (87 - 1) * -12 a_87 = 12 - 86 * 12 a_87 = 12 - 1032 a_87 = -1020

So, the 87th term of the sequence is -1020.