Let function f: N →N be defined on the non-negative integers by if n = 0 f(n) = {f(n – 1)+ 5 ( (n-3)+ f(2) + 4 if n 2 3. if 1
Let function f: N →N be defined on the non-negative integers by if n = 0 f(n) = {f(n – 1)+ 5 ( (n-3)+ f(2) + 4 if n 2 3. if 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let function f: N → N be defined on the non-negative integers by
1
if n = 0
f(n) = {f(n – 1)+ 5
if 1<n <2
( f(n – 3) + f(2) + 4 if n > 3.
1. Prove by mathematical induction on n that f(n) = 5n +1 for all n 2 0.
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