Verified Answer :

HomertheGenius

a 1 = - 32,  a 9 = - 120
a 9 = a 1 + 8 d
- 120 = - 32 + 8 d
8 d = - 88
d = - 88 : 8
d = - 11
a 32  = a 1 + 31 d = - 32 + 31 * ( -11 ) = - 32 - 341 = - 373
Answer: B ) - 373 

Answer:

Step-by-step explanation:

Alright, lets get started.

The formula for nth term of arithmetic sequence is :

\(t_{n}=a+(n-1)d\)

First term is -32

Ninth term is :

\(t_{9}=-32 + (9-1)*d\)

\(-120=-32+8*d\)

\(8d=-120+32\)

\(8d=-88\)

\(d=-11\)

32th term is :

\(t_{32}=-32 + (32-1)*(-11)\)

\(t_{32}=-32-341\)

\(t_{32}=-373\)

So the answer is -373   :    Answer

Hope it will help :)

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