Solution Found!
(a) Let k N. Prove that if k2 + k + 5 is even, then (k + 1)2 + (k + 1) + 5 is even. (b)
Chapter 4, Problem 12(choose chapter or problem)
QUESTION:
(a) Let k N. Prove that if k2 + k + 5 is even, then (k + 1)2 + (k + 1) + 5 is even. (b) What is the value of k2 + k + 5 when k = 7? (c) What information do (a) and (b) provide?
Questions & Answers
QUESTION:
(a) Let k N. Prove that if k2 + k + 5 is even, then (k + 1)2 + (k + 1) + 5 is even. (b) What is the value of k2 + k + 5 when k = 7? (c) What information do (a) and (b) provide?
ANSWER:Step 1 of 4
(a)
The statement to be proved is “if is even, then is even”.
Assume that “ is even”. Then we have to verify that is even.