Answer :

xjayde28x
The difference of the sequence is -11 so your answer is -372

Answer:

The 32nd term of the arithmetic sequence is:  

                           -372

Step-by-step explanation:

We are given first term of the sequence as:

[tex]a_1=-31[/tex]

We know that the nth term of a arithmetic sequence is given by the formula:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference of the arithmetic sequence.

We are given,

[tex]a_9=-119[/tex]

i.e.

[tex]a_1+(9-1)d=-119\\\\\\i.e.\\\\\\-31+8d=-119\\\\\\8d=-119+31\\\\\\8d=-88\\\\i.e.\\\\\\d=-11[/tex]

Hence, the 32nd term is given by:

[tex]a_{32}=-31+(32-1)\times (-11)\\\\\\a_{32}=-372[/tex]

Hence, the answer is:   -372

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