Prove by induction on n that, for all positive integers n: Σο (i(i!)) = (n + 1)! – 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1) Prove by induction on n that, for all positive integers n:
>(i(i!)) = (n+ 1)! – 1
2) Prove by induction on n that, for all positive integers n:
n
6(5n6" – 6" + 1)
i6 =
25
Transcribed Image Text:1) Prove by induction on n that, for all positive integers n: >(i(i!)) = (n+ 1)! – 1 2) Prove by induction on n that, for all positive integers n: n 6(5n6" – 6" + 1) i6 = 25
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