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If an = √(7+ √(7 + √(7 +.....))) having n radical signs then by methods of mathematical induction which is true

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If an = √(7+ √(7 + √(7 +.....)))  having n radical signs then by methods of mathematical induction which is true

(a) an > 7, ∀ n ≥ 1 

(b) an > 3, ∀ n ≥ 1

(c) an < 4, ∀ n ≥ 1 

(d) an < 3, ∀ n ≥ 1.

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