Consider p> 2 a prime number, justify that: (P,') = (-1)" (mod p) to any 0 sn sp- 1,n EN. 1.1 1.2 (P)= 0 (mod p) to any natural number 2snsp- 1. (2p = 2 (mod p). Suggestion: Use paragraph 1.1 and 1.2 1.3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 54E
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Group 1
Consider p> 2 a prime number, justify that:
1.1 (P,)= (-1)" (mod p) to any 0 sn sp- 1,n € N.
(Pt)= 0 (mod p) to any natural number 2snsp- 1.
1.2
n
2p
= 2 (mod p). Suggestion: Use paragraph 1.1 and 1.2
1.3
Transcribed Image Text:Group 1 Consider p> 2 a prime number, justify that: 1.1 (P,)= (-1)" (mod p) to any 0 sn sp- 1,n € N. (Pt)= 0 (mod p) to any natural number 2snsp- 1. 1.2 n 2p = 2 (mod p). Suggestion: Use paragraph 1.1 and 1.2 1.3
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