() 2k = 3", Vn E N k k=0 k n+1 Σ 2 Vn E N, n > 1 3 k=2 į * () 主) n 3k = 4", Vn E N %3D k k=0 = 2"-1, wheren is even 2k k=0 = 5", Vn E N k k=0 CIN
() 2k = 3", Vn E N k k=0 k n+1 Σ 2 Vn E N, n > 1 3 k=2 į * () 主) n 3k = 4", Vn E N %3D k k=0 = 2"-1, wheren is even 2k k=0 = 5", Vn E N k k=0 CIN
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Prove the following using mathematical induction.
![()
n
11. 2*
= 3", Vn E N
k
k=0
k
12. E
2
n+1
,Vn E N, n> 1
3
k=2
()
= 4", Vn E N
k
13. У 3к
%3D
k=0
14.
2"-1, where n is even
2k
k=0
15. E
タ4
= 5", Vn E N
%3D
k
k=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7c9b0fe-bcaa-47ab-9169-4992688d428b%2Fa7e22ca8-4566-46fb-8407-31c2200058ed%2Feu9976_processed.png&w=3840&q=75)
Transcribed Image Text:()
n
11. 2*
= 3", Vn E N
k
k=0
k
12. E
2
n+1
,Vn E N, n> 1
3
k=2
()
= 4", Vn E N
k
13. У 3к
%3D
k=0
14.
2"-1, where n is even
2k
k=0
15. E
タ4
= 5", Vn E N
%3D
k
k=0
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