
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Dropdown box 1:
An arithmetic sequence
A geometric sequence
An alternating sequence
A telescoping sequence
Dropdown box 2:
Alternating term
Adder
Multiplier
Final value
Dropdown box 3:
22
23
24

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 23?
For each integer n ≥ 1, let sn-1 be the number of operations the algorithm executes when it is ru
So, for every integer n ≥ 0, 5=
constant -Select-
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, which is
for each integer k 2 1. Therefore, Sor S₁, S₂.
with an input of size n. Then so=
and sk
It follows that for an input of size 23, the number of operations executed by the algorithm is
-Select-
which equals
-Select-
with
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