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Consider the sequence⟨8,4,2,1,0.5,……⟩⟨8,4,2,1,0.5,……⟩. Find the12th12thterm of the sequence.Select one:A.12451245B.12651265C.12561256D.1266

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Solution

The given sequence is a geometric sequence where each term is half of the previous term. The general formula for the nth term of a geometric sequence is a*r^(n-1), where a is the first term, r is the common ratio, and n is the term number.

In this case, a = 8 (the first term), r = 0.5 (each term is half of the previous term), and n = 12 (we're looking for the 12th term).

So, the 12th term is 8*(0.5)^(12-1) = 8*(0.5)^11.

Calculating this gives approximately 0.00390625.

So, none of the options A, B, C, or D are correct.

This problem has been solved

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