SOLUTION: Find the number of terms in the following sequence 8,4,2,1/2--------1/512

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Question 1122707: Find the number of terms in the following sequence 8,4,2,1/2--------1/512
Answer by math_helper(2461) About Me  (Show Source):
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Find the number of terms in the following sequence 8,4,2,1/2--------1/512
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The sequence is +2%5E3+, +2%5E2+, +2%5E1+, +2%5E%28-1%29+, … , +2%5E%28-9%29+


This is 3-(-9) +1 - 1 = +highlight%2812%29+ terms

Note that the sequence you have posted does not have a +2%5E0+=+1+ entry. I mention it because items labeled k, k+1,..., k+N represent (k+N)-(k) + 1 = N+1 items in all. Here the final -1 is adjusting for the missing entry.
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