Prove that 52N-1 is divisible by 8 for all NEN5²-1 -82(1)1) Show for N=1 5203-1-N852h-Y83) Apply K+1: 52 (H+1)_1 =2) Assume K:· L = N1=3 yes, divisible

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Answered: Prove that 52-1 is divisible by 8 for…

Prove that 52-1 is divisible by 8 for all NEN 1) show for N=1 5263-1-N 52-1-21 =3 2(1) 24 8 8 52h-1/8 = N 3) Apply K+1: 52 (H+1)_1 = 2) Assume K: 52K_ N = 3 yes, divisible

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Prove that 52N-1 is divisible by 8 for all NEN
5²-1 -
8
2(1)
1) Show for N=1 5203-1-N
8
52h-Y8
3) Apply K+1: 52 (H+1)_1 =
2) Assume K:
· L = N
1=3 yes, divisible

Expert Solution

Step 1: Requirement of the question

$P r o v e space t h a t space 5 to the power of 2 n end exponent minus 1 space i s space d i v i s i b l e space b y space 8 space f o r space a l l space n element of N.$

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