Use Mathematical Induction to prove that whenever n is a positive integer 2 divides n2-n.
Use Mathematical Induction to prove that whenever n is a positive integer 2 divides n2-n.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10T: Use mathematical induction to prove the formula for all integers n_1. 5+10+15+....+5n=5n(n+1)2
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We use Mathematical Induction to prove that whenever n is a positive integer 2 divides .
The proof consists of three steps:
(i) In this step we check the validity of the statement for n=1.
(ii) In this step we assume the statement is true for n=k, where k is any positive integer.
(iii) In the final step we wish to show that the statement is also true for n=k+1 whenever it is true for n=k.
For the proof of the statement see the next sections.
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