Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 +...

Let `S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2`. Then which of the following is true ?
(A) S(1) is correct
(B) S(k)=S(k+1)
(C) `S(k) != S(k+1)`
(D) Principal of mathematical induction can be used to prove the formula

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