1.

Prove that 6n + 13 is an odd integer, where n is an integer.

Answer»

To prove : 6n + 13 is odd integer , n  I.

Case I : When n is an odd integer n = 2m + 1

⇒ 6n + 13 = 6 (2m + 1) + 13 = 12 m + 6 + 13

Which is odd.

Case II : When n = Even = 2m

6n + 13 = 6 (2m) + 13 = 12m + 13

Which is again odd.



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