6) Let n be a positive integer such that 7 | (52n-1 +22n-1). Prove that 7 || (52n+1+22n+¹). (Hint: Rewrite 52n+1+22n+1, where a portion of the expression is 7 times 52n-1+22n-1, and the rest of the expression is also divisible by 7.) 7) Civa o gum of life Mosuom alchon: Plango im lanath

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6) Let n be a positive integer such that 7 | (52n-1 +22n-1). Prove that 7 || (52n+1+22n+1¹). (Hint: Rewrite
52n+1+22n+1, where a portion of the expression is 7 times 52-1+22n-1, and the rest of the expression
is also divisible by 7.)
7) Civa o cumu
flifa
MONUOM
alchon: plagg sim
lonath
Transcribed Image Text:6) Let n be a positive integer such that 7 | (52n-1 +22n-1). Prove that 7 || (52n+1+22n+1¹). (Hint: Rewrite 52n+1+22n+1, where a portion of the expression is 7 times 52-1+22n-1, and the rest of the expression is also divisible by 7.) 7) Civa o cumu flifa MONUOM alchon: plagg sim lonath
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