Please provide justified answer asap:::: Show that n is odd if and only if n^2+4n+1 is even.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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Please provide justified answer asap:::: Show that n is odd if and only if n^2+4n+1 is even.
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