SRMJEE 2017 Paper with key

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Question : 83 of 155

Marks: +1, -0

If ∀ n∈N, Let p(n)=1+3+5+....+(2n−1)=3+n2
then which of the following is true?

p(1) is true
p(k) is true ⇒ p(k + 1) is true
p(k) is true, p(k + 1) is not true
p(k) is not true ⇒ p(k + 1) is true

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