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(6) Use congruences to prove the following. They were proven by induction in Prob lem 16 of Section 6.3. (a) 6|n(n² + 5). (b) 5 (n5-n). (c) 7 (n7 -n).

(6) Use congruences to prove the following. They were proven by induction in Prob lem 16 of Section 6.3. (a) 6|n(n² + 5). (b) 5 (n5-n). (c) 7 (n7 -n).

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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(6) Use congruences to prove the following. They were proven by induction in Prob lem 16 of Section 6.3. (a) 6|n(n² + 5). (b) 5 (n5 -n). (c) 7 (n7 -n).
Transcribed Image Text:(6) Use congruences to prove the following. They were proven by induction in Prob lem 16 of Section 6.3. (a) 6|n(n² + 5). (b) 5 (n5 -n). (c) 7 (n7 -n).
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