Let \( S(k)=1+3+5+\ldots \ldots+(2 k-1)=3+k^{2} \), then which of the following is true? (a) \( ...

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Let \( S(k)=1+3+5+\ldots \ldots+(2 k-1)=3+k^{2} \), then which of the following is true?
(a) \( S(1) \) is true
(b) \( S(k) \Rightarrow S(k+1) \)
(c) \( S(k) \not S(k+1) \)
(d) Principle of mathematical Induction can be used to prove that formula
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