question_answer

Let\[S(K)=1+3+5+...+(2K-1)=3+{{K}^{2}}.\]Then, which of the following is true?

A) S(1) is correct

B) \[S(K)\Rightarrow S(K+1)\]

C) \[S(K)S(K+1)\]

D) Principle of mathematical induction can be used to prove the formula

Correct Answer: B

Solution :

Putin both sides.             and               Putin both sides on the place of K. Let lfis true, then  \[S(K+1)\] is also true. Hence,