3a) Prove that 13" – 6n-23b) Use proof by induction to prove thatis divisible by 7.=1r2 = -n(n + 1)(2n + 1).3c) Show that the sequenceconverges.2п-1

We have to prove the following: 13n-6n-2 is divisible by 7. ∑r=1n r2=16nn+12n+1 . The sequence…

Answered: За) Prove that 137 — 67-2 3b) Use proof…

За) Prove that 137 — 67-2 3b) Use proof by induction to prove that is divisible by 7. E=1r? = En(n + 1)(2n + 1). 3c) Show that the sequence converges. 2n-1

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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Question

3a) Prove that 13" – 6n-2
3b) Use proof by induction to prove that
is divisible by 7.
=1r2 = -n(n + 1)(2n + 1).
3c) Show that the sequence
converges.
2п-1

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