Answer:
Step-by-step explanation:
Alright, lets get started.
The formula for nth term of arithmetic sequence is :
[tex]t_{n}=a+(n-1)d[/tex]
First term is -32
Ninth term is :
[tex]t_{9}=-32 + (9-1)*d[/tex]
[tex]-120=-32+8*d[/tex]
[tex]8d=-120+32[/tex]
[tex]8d=-88[/tex]
[tex]d=-11[/tex]
32th term is :
[tex]t_{32}=-32 + (32-1)*(-11)[/tex]
[tex]t_{32}=-32-341[/tex]
[tex]t_{32}=-373[/tex]
So the answer is -373 : Answer
Hope it will help :)