If P(n): 2+4+6+. . .+\binom{2}{n}, n \in \mathbb{N}, then P(k)=k(k+1)+2 implies p(k+1)=(k+1)(k+2)+2 is true for all k \in \mathbb{N}. So, the statement P(n)=n(n+1)+2 is true for

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CUSAT 2018 BTech Solved Paper

Question : 90 of 250

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If P(n):2+4+6+...+(2n),n∈ℕ, then P(k)=k(k+1)+2 implies p(k+1)=(k+1)(k+2)+2 is true for all k∈ℕ. So, the statement P(n)=n(n+1)+2 is true for

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