1. Prove that for any natural n the following holds 1.2+2.3+...+ (n – 1) · n = (п — 1)п(п + 1) 3 2. Prove that for any natural n the following holds п (2n – 1)(2n + 1) 2n +1 1.3 3.5
1. Prove that for any natural n the following holds 1.2+2.3+...+ (n – 1) · n = (п — 1)п(п + 1) 3 2. Prove that for any natural n the following holds п (2n – 1)(2n + 1) 2n +1 1.3 3.5
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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How to prove these two questions?
![1. Prove that for any natural n the following holds
1.2+2.3+...+ (n – 1) · n =
(п — 1)п(п + 1)
3
2. Prove that for any natural n the following holds
п
(2n – 1)(2n + 1)
2n +1
1.3
3.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcee5540e-7e1e-4b72-b4c2-cb8adf943c8b%2Fa573aefa-dd31-4d43-8a63-2605417063d8%2Fqounbd.png&w=3840&q=75)
Transcribed Image Text:1. Prove that for any natural n the following holds
1.2+2.3+...+ (n – 1) · n =
(п — 1)п(п + 1)
3
2. Prove that for any natural n the following holds
п
(2n – 1)(2n + 1)
2n +1
1.3
3.5
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