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 Igorithm 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 27? or each integer n ≥ 1, let s be the number of operations the algorithm executes when it is run with an input of size n. Then so = therefore, so, S₁, S₂, ... is ---Select--- So, for every integer n ≥ 0, s = umber of operations executed by the algorithm is S-Select--- which equals ✓with constant ---Select--- , which is and Sk = for each integer k ≥ 1. It follows that for an input of size 27, the
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 Igorithm 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 27? or each integer n ≥ 1, let s be the number of operations the algorithm executes when it is run with an input of size n. Then so = therefore, so, S₁, S₂, ... is ---Select--- So, for every integer n ≥ 0, s = umber of operations executed by the algorithm is S-Select--- which equals ✓with constant ---Select--- , which is and Sk = for each integer k ≥ 1. It follows that for an input of size 27, the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Transcribed Image Text: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 27?
For each integer n ≥ 1, let S - 1 be the number of operations the algorithm executes when it is run with an input of size n. Then so =
So, for every integer n ≥ 0, Sn=
Therefore, So, S1, S21
number of operations executed by the algorithm is s
is ---Select---
with constant ---Select---
---Select--- I
which equals
I
which is
and Sk
=
for each integer k ≥ 1.
. It follows that for an input of size 27, the
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