Let 2 SK K K ( ) 1 3 5… (2 1) 3 =++ + – =+ . Then which of the following is true

Question:

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

  1. Principle of mathematical induction can be used to prove the formula

  2. $S(K) \Rightarrow S(K+1)$

  3. $S(K) \neq \Rightarrow S(K+1)$

  4. $S$ (1) is correct

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Mathematical Induction chapter.
JEE Main Previous Year 2004

Solution:

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