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If an = sqrt(7+ sqrt( 7+sqrt7+ ....... )...

If `a_n = sqrt(7+ sqrt( 7+sqrt7+ ....... )))` having n radical signs then by methods of mathematical induction which is true

A

`a_n gt 7 AA n ge 1`

B

`a_n lt 7 AA n ge 1`

C

`a_n lt 4 AA n ge 1`

D

`a_n lt 3 AA n ge 1`

Text Solution

Verified by Experts

The correct Answer is:
B
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DISHA PUBLICATION-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise-2 Concept Applicator
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