JEE Main 2002Annual, Paper 1MathematicsEasyMathematical Induction3× since 2002If an=7+7+7+.......{a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } }an=7+7+7+....... having nnn radical signs then by methods of mathematical induction which is trueAOption A. an>7 ∀ n≥1{a_n} > 7\,\,\forall \,\,n \ge 1an>7∀n≥1BOption B. an<7 ∀ n≥1{a_n} < 7\,\,\forall \,\,n \ge 1an<7∀n≥1COption C. an<4 ∀ n≥1{a_n} < 4\,\,\forall \,\,n \ge 1an<4∀n≥1DOption D. an>3 ∀ n≥1{a_n} > 3\,\,\forall \,\,n \ge 1an>3∀n≥1CheckSkip · show solution
