(3) 5. Write a direct proof to show that if m is an even integer then Sm+ 3 is an odd integer. (3)6. Write an indirect proof to show if 3m +1 is an odd integer then m is an even integer
(3) 5. Write a direct proof to show that if m is an even integer then Sm+ 3 is an odd integer. (3)6. Write an indirect proof to show if 3m +1 is an odd integer then m is an even integer
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 14E
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I need help to answer these two questions. I attached it.
I have an answer for the first one. Still not sure.
* Assume that m is an even integer then by that definition of an even integer there exists another integer K such that m = 2k.
*Then, 5m + 3 = 5(2k) +3 = 10K +3 = 2(5k)+3
*Therefore, we have proved that m is an even integer then 5m + 3 is an odd integer.
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