A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k - 1 (where k is an integer that is greater than 1). When the algorithm is run with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 26? For each integer n2 1, let s,-, be the number of operations the algorithm executes when it is run with an input of size n. Then so = and s = for each integer k 2 1. Therefore, So, S1, S2 - Select-- v with constant -Select-- V, which is So, for every integer n 2 0, s, = .It follows that for an input of size 26, the number of operations executed by the algorithm is sSelect v which equals

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