1. Use induction to prove that, for n>=0: 3*50 +3*5¹ +352 +3*5³+...+ 3*5=3*(5+¹-1)/4 In other words: Basis: Assume: Prove: n Σ k= 0 3*5 k ==3*(5+1-1) / 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Use induction to prove that, for n>=0:
3*50 +35¹ +352 +3*5³+...+ 3*5 = 3*(5⁰¹-1)/4
In other words:
Basis:
Assume:
Prove:
Proof:
n
Σ
k= 0
3*5 k = = 3* (5+1-1) / 4
Transcribed Image Text:1. Use induction to prove that, for n>=0: 3*50 +35¹ +352 +3*5³+...+ 3*5 = 3*(5⁰¹-1)/4 In other words: Basis: Assume: Prove: Proof: n Σ k= 0 3*5 k = = 3* (5+1-1) / 4
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