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Consider the following recursive function: 8 ƒ(n) = { 2. f(n − 1) Prove that the closed form is f(n) = 2² +5n+7. if n = 0 2 ∙ f(n − 1) — 5n+3 ifn≥1

Consider the following recursive function: 8 ƒ(n) = { 2. f(n − 1) Prove that the closed form is f(n) = 2² +5n+7. if n = 0 2 ∙ f(n − 1) — 5n+3 ifn≥1

Advanced Engineering Mathematics
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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Consider the following recursive function: if n = 0 f(n) = {2. f(n-1)-5n+3 ifn≥1 Prove that the closed form is f(n) = 2" +5n+7.
Transcribed Image Text:Consider the following recursive function: if n = 0 f(n) = {2. f(n-1)-5n+3 ifn≥1 Prove that the closed form is f(n) = 2" +5n+7.
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f open parentheses n close parentheses equals open curly brackets table row 8 cell i f space n equals 0 end cell row cell 2 f open parentheses n minus 1 close parentheses minus 5 n plus 3 end cell cell i f space n greater or equal than 1 end cell end table close

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