Prove by mathematical induction that for every positive integer n, 1 1 1 1 П 3i 3і Зі + 1 (Зп + 1)! i=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4,6

6. Prove that for all integers a, b, and c, if a? + b2 = c?, then at least one of a and b is even.
Transcribed Image Text:6. Prove that for all integers a, b, and c, if a? + b2 = c?, then at least one of a and b is even.
4. Prove by mathematical induction that for every positive integer n,
1
1
1
1
П
||
3i – 1 3i 3i + 1
i=1
(3n + 1)!"
Transcribed Image Text:4. Prove by mathematical induction that for every positive integer n, 1 1 1 1 П || 3i – 1 3i 3i + 1 i=1 (3n + 1)!"
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