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1. Use mathematical induction to prove (for all integers n > 0): P(n): 1+ 3 + 6 + + n(n+1)/2 = n(n+1) (n+2)/6 2. Use mathematical induction to prove (for all integers n > 0): P(n): 1*1! + 2*2! + + n*n! = (n+1)! 1 Submit a photo of your work to this assignment before the due date.

1. Use mathematical induction to prove (for all integers n > 0): P(n): 1+ 3 + 6 + + n(n+1)/2 = n(n+1) (n+2)/6 2. Use mathematical induction to prove (for all integers n > 0): P(n): 1*1! + 2*2! + + n*n! = (n+1)! 1 Submit a photo of your work to this assignment before the due date.

Advanced Engineering Mathematics
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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1. Use mathematical induction to prove (for all integers n > 0): P(n): 1+ 3 + 6 + + n(n+1)/2 = n(n+1) (n+2)/6 2. Use mathematical induction to prove (for all integers n > 0): P(n): 1*1! + 2*2! + + n*n! = (n+1)! 1 Submit a photo of your work to this assignment before the due date.
Transcribed Image Text:1. Use mathematical induction to prove (for all integers n > 0): P(n): 1+ 3 + 6 + + n(n+1)/2 = n(n+1) (n+2)/6 2. Use mathematical induction to prove (for all integers n > 0): P(n): 1*1! + 2*2! + + n*n! = (n+1)! 1 Submit a photo of your work to this assignment before the due date.
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