For all n e N21 (so n > 1), and using weak induction, prove that: Σ 2 [n(n- + 1)] 2 i=1 Note that this result means that the sum of the third powers of the first n strictly positive integers is equal to the sum of the same integers, squared! =)
For all n e N21 (so n > 1), and using weak induction, prove that: Σ 2 [n(n- + 1)] 2 i=1 Note that this result means that the sum of the third powers of the first n strictly positive integers is equal to the sum of the same integers, squared! =)
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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![For all n e N21 (so n > 1), and using weak induction, prove that:
Σ
2
[n(n-
+ 1)]
2
i=1
Note that this result means that the sum of the third powers of the first n strictly
positive integers is equal to the sum of the same integers, squared! =)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd29cb09f-e7b6-4f2d-b72d-776ce1f42cfb%2Fb9ac4a49-0f2c-4e41-ad26-7e7ac5fbf356%2Fw4id8.png&w=3840&q=75)
Transcribed Image Text:For all n e N21 (so n > 1), and using weak induction, prove that:
Σ
2
[n(n-
+ 1)]
2
i=1
Note that this result means that the sum of the third powers of the first n strictly
positive integers is equal to the sum of the same integers, squared! =)
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