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- Cell cycle worksheet and diagram identificationSo the closed form formula ives us the correct answer when n = 0. Inductive Step. Our inductive assumption is: Assume there is a k, greater than or equal to zero, such that a k = (1 - 1/2 2 k)/2. We must prove the formula is true for n = k+1. First we appeal to the recurrsive definition of a k+1 = 2 a k (1-a k). Next, we invoke the inductive ...
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The variable sum is the sum we are trying to reach, and largestNumber is the largest number on the sub-set we have available to reach that sum. When sum equals zero it means we just reached the sum exactly, so the function returns 1 (i.e. it just found one way to do the sum).