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Show for all integers n> 1 that 7 I (3ªn+l – 5²n-1 ).

Show for all integers n> 1 that 7 I (3ªn+l – 5²n-1 ).

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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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?
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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