Prove by mathematical induction that for all integers n 2 0: a 5" + 2 x 11" is divisible by 3, b 33n + 2"+2 is divisible by 5, c 11"+2 + 122"+1 is divisible by 133.
Prove by mathematical induction that for all integers n 2 0: a 5" + 2 x 11" is divisible by 3, b 33n + 2"+2 is divisible by 5, c 11"+2 + 122"+1 is divisible by 133.
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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a and c only
Transcribed Image Text:5 Prove by mathematical induction that for all integers n > 0:
a 5" + 2 x 11" is divisible by 3,
b 3 3n + 2"+2 is divisible by 5,
c 11" +2 + 122n+1 is divisible by 133.
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