3. Let a, be an odd integer for cach integer n > 1. Prove that if n is odd, then the sum Ea, is odd j=1 (Hint: You want to induct on just the positive odd integers. Instead of using induction on all of n. Write these as n= 2k + 1 and induct on k.)
3. Let a, be an odd integer for cach integer n > 1. Prove that if n is odd, then the sum Ea, is odd j=1 (Hint: You want to induct on just the positive odd integers. Instead of using induction on all of n. Write these as n= 2k + 1 and induct on k.)
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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![3. Let a, be an odd integer for cach integer n > 1. Prove that if n is odd, then the sum
Ea, is odd
j=1
(Hint: You want to induct on just the positive odd integers. Instead of using induction on all of n. Write
these as n= 2k + 1 and induct on k.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4bf7fd9-0d7b-4933-88b9-70b7d9e081ce%2F38f8b51b-bac4-4da7-9149-7dacee69f1af%2Fc0oyfk_processed.png&w=3840&q=75)
Transcribed Image Text:3. Let a, be an odd integer for cach integer n > 1. Prove that if n is odd, then the sum
Ea, is odd
j=1
(Hint: You want to induct on just the positive odd integers. Instead of using induction on all of n. Write
these as n= 2k + 1 and induct on k.)
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