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What is The 7th term of the following sequence?

What is The 7th term of the following sequence?-example-1

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Answer:

0.03125

Explanation:

Note that -32 is obtained by multiplying 128 by -1/4, and that 8 is obtained in the same way. Thus, the common ratio is -1/4, and the formula for the nth term of this sequence is

a(n) = 128(-1/4)^(n-1).

Then the 7th term is a(7) = 128(-1/4)^(7-1) = 128(-1/4)^6, or 0.03125.

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