Show for all integers n> 1 that 7 I (3ªn+l – 5²n-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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Please help with part a

Transcribed Image Text:Show for all integers n> 1 that 7 1 (34n+ - 5?n-1 ).
а.
b.
Suppose that {a, }is a sequence of real numbers defined recursively by
а, 3D1, а, — 2, аnd a,2 %3
Vn 21 Write out the first 13 terms and give a closed form formula for a,
'n+2
4n? +14n+1
Let P(n):9+13+...+(4n+5) =
с.
2
Show P(k)→ P(k +1). Is P(n) true Vintegers n21?
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