If $$A = \left[ {\matrix{ 1 & 0 \cr 1 & 1 \cr } } \right]$$ and $$I = \left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right],$$ then which one of the following holds for all $$n \ge 1,$$ by the principle of mathematical induction?

$${A^n} = nA - \left( {n - 1} \right){\rm I}$$

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

$$S\left( K \right) \Rightarrow S\left( {K + 1} \right)$$

JEE Main · Quantitative Aptitude

JEE Main Mathematical Induction Questions with Answers and Solutions

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JEE Main Mathematical Induction practice

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If $${a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } } $$ having

n

radical signs then by methods of mathematical induction which is true

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JEE Main Mathematical Induction practice FAQ

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JEE Main Mathematical Induction practice

What visitors can use on this page

JEE Main Mathematical Induction practice FAQ

Prepare together, not alone

JEE Main Mathematical Induction practice

What visitors can use on this page

JEE Main Mathematical Induction practice FAQ