3. Let a, be an odd integer for each integer n > 1. Prove that if n is odd, then the sum Laj is odd j=1 (Hint: You want to induct on just the positive odd integers. Instead of using induction on all of n. Write these as n = 2k +1 and induct on k.)
3. Let a, be an odd integer for each integer n > 1. Prove that if n is odd, then the sum Laj is odd j=1 (Hint: You want to induct on just the positive odd integers. Instead of using induction on all of n. Write these as n = 2k +1 and induct on k.)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 22E: Let x and y be integers, and let m and n be positive integers. Use mathematical induction to prove...
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