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(a) Evaluate the sum 20 30 ΣΣ2+5.2 i=0 j=0 (b) Show that nº n is divisible by 5, for all positive integers n > 1. (c) Show that nº - n is even, for all positive integers n > 1. (d) Show that n³ n is divisible by 10, for all positive integers n > 1.

(a) Evaluate the sum 20 30 ΣΣ2+5.2 i=0 j=0 (b) Show that nº n is divisible by 5, for all positive integers n > 1. (c) Show that nº - n is even, for all positive integers n > 1. (d) Show that n³ n is divisible by 10, for all positive integers n > 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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(a) Evaluate the sum 20 30 ΣΣ+5. 2) i=0_j=0 (b) Show that nº – n is divisible by 5, for all positive integers n > 1. - (c) Show that nº – n is even, for all positive integers n > 1. - (d) Show that n5 – n is divisible by 10, for all positive integers n >1. (e) Show that nº has the same last digit as n, for all positive integers n > 1. 00-
Transcribed Image Text:(a) Evaluate the sum 20 30 ΣΣ+5. 2) i=0_j=0 (b) Show that nº – n is divisible by 5, for all positive integers n > 1. - (c) Show that nº – n is even, for all positive integers n > 1. - (d) Show that n5 – n is divisible by 10, for all positive integers n >1. (e) Show that nº has the same last digit as n, for all positive integers n > 1. 00-
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