A certain computer algorithm executes three times as many operations when it is run with an input of size n as when it is run with an input of size n - 1 (where n > 1 is an integer). When the algorithm is run with an input of size 1, it executes ten operations. Let s, be the number of operations the algorithm executes when it is run on an input of size n. Find a closed form for s.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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A certain computer algorithm executes three times as many operations when
it is run with an input of size n as when it is run with an input of size n–1 (where n >1 is
an integer). When the algorithm is run with an input of size 1, it executes ten operations.
Let s, be the number of operations the algorithm executes when it is run on an input of size
n. Find a closed form for s„.
Transcribed Image Text:A certain computer algorithm executes three times as many operations when it is run with an input of size n as when it is run with an input of size n–1 (where n >1 is an integer). When the algorithm is run with an input of size 1, it executes ten operations. Let s, be the number of operations the algorithm executes when it is run on an input of size n. Find a closed form for s„.
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