If \( a_{n}=\sqrt{7+\sqrt{7+\sqrt{7 \ldots \ldots}}} \) having \( \...

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If \( a_{n}=\sqrt{7+\sqrt{7+\sqrt{7 \ldots \ldots}}} \) having \( \mathrm{n} \) radical signs,
\( \mathrm{P} \)
W then by method of mathematical induction which of the following is true?
(1) \( a_{n}7, \forall n \geq 1 \)
(2) \( a_{n}3, \forall n \geq 1 \)
(3) \( 2a_{n}4, \forall n \geq 1 \)
(4) \( a_{n}3, \forall n \geq 1 \)
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