JEE Math Practice Question
If $${a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } } $$ having $$n$$ radical signs then by methods of mathematical induction which is true
- A.$${a_n} > 7\,\,\forall \,\,n \ge 1$$
- B.$${a_n} < 7\,\,\forall \,\,n \ge 1$$
- C.$${a_n} < 4\,\,\forall \,\,n \ge 1$$
- D.$${a_n} > 3\,\,\forall \,\,n \ge 1$$
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