Mathematical Induction

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 in...

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

If \({a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } }\) having \(n\) radical signs then by methods of mathematical induction which is true