JEE Main 2004Annual, Paper 1MathematicsMediumMathematical Induction3× since 2002Let S(K)S(K)S(K) =1+3+5...+(2K−1)=3+K2.= 1 + 3 + 5... + \left( {2K - 1} \right) = 3 + {K^2}.=1+3+5...+(2K−1)=3+K2. Then which of the following is trueAOption A. Principle of mathematical induction can be used to prove the formulaBOption B. S(K)⇒S(K+1)S\left( K \right) \Rightarrow S\left( {K + 1} \right)S(K)⇒S(K+1)COption C. S(K)≠S(K+1)S\left( K \right) \ne S\left( {K + 1} \right)S(K)=S(K+1)DOption D. S(1)S\left( 1 \right)S(1) is correctCheckSkip · show solution
