In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
a1 = -31 and a17 = -119
an = a1 + (n-1)d
-119 = -31 + (9-1)d
d = -11
The 32nd term is calculated as follows:
a32 = a1 + (n-1)d
a32= -31 + (32-1)(-11)
a32 = -372
