Mathematical Reasoning & Induction · JEE Main previous year questions

2002 1 question

1. Q572002 · 27 Apr 2002 · Shift 1

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

   1. A.$a_n>7\forall n\ge 1$
   2. B.$a_n<7\forall n\ge 1$
   3. C.$a_n<4\forall n\ge 1$
   4. D.$a_n>3\forall n\ge 1$
   Show answer

   Answer: B, C