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Consider the statement: P(n) :n^2 - 2n +...

Consider the statement: `P(n) :n^2 - 2n + 41` is even.” Then which one of the following is true?

A

Both P(3) and P(5) are false

B

P(3) is false but P(5) is true

C

Both P(3) and P(5) are true

D

P(5) is false but P(3) is true

Text Solution

Verified by Experts

The correct Answer is:
C
`P(3) = 9 - 6 + 41 = 44`
`P(5) = 25 - 10 + 41 = 56`
Both even
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