Consider the following algorithm: GeoSum(r, n) Input: Positive real number r and natural number n pn+1_1 Output: r-1 If (n = 0), Return( 1 ) sum= GeoSum(r, n – 1)+rª Return sum Prove that this algorithm computes the function f(r,n) = " . (HINT: Prove by induc- pn+1 r-1 tion on n.)
Consider the following algorithm: GeoSum(r, n) Input: Positive real number r and natural number n pn+1_1 Output: r-1 If (n = 0), Return( 1 ) sum= GeoSum(r, n – 1)+rª Return sum Prove that this algorithm computes the function f(r,n) = " . (HINT: Prove by induc- pn+1 r-1 tion on n.)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:Consider the following algorithm:
GeoSum(r, n)
Input: Positive real number r and natural number n
pn+1
Output: 1.
r-1
If (n = 0), Return( 1 )
sum= GeoSum(r, n – 1)+r"
Return sum
Prove that this algorithm computes the function f(r,n) = " . (HINT: Prove by induc-
pn+1
r-
tion on n.)
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