A statement Sn: 3 + 7 + 11 + ......... + (4n - 1) = n(2n + 1) about the positive integers is given. Write statements Sk and Sk+1, simplifying statement Sk+1 completely.
A statement Sn: 3 + 7 + 11 + ......... + (4n - 1) = n(2n + 1) about the positive integers is given. Write statements Sk and Sk+1, simplifying statement Sk+1 completely.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 50E: Show that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation...
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A statement Sn: 3 + 7 + 11 + ......... + (4n - 1) = n(2n + 1) about the positive integers is given. Write statements Sk and Sk+1, simplifying statement Sk+1 completely.
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