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Find the 91st term of the arithmetic sequence 28, 8, –12, ...

Anybody know the answer?

Find the 91st term of the arithmetic sequence 28, 8, –12, ... Anybody know the answer-example-1
User Amid
by
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1 Answer

3 votes

Answer:

-1772

Explanation:

The nth term of an arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

From the sequence

a = 28

d = 8-28 = -12-8 = -20

n =91(since we are looking for the 91st term)

Substrate

T91 = 28+(91-1)(-20)

T91 = 28+90(-20)

T91 = 28-1800

T91 = -1772

Hence the 91st term is -1772

User Dawy
by
4.4k points