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If a(n)=sqrt(7+sqrt(7+sqrt(7+...))) has ...

If `a_(n)=sqrt(7+sqrt(7+sqrt(7+...)))` has n radical signs, then by the method of mathematical induction, which is true ?

A

`A) a_(n) lt 7 AA n ge 1`

B

B) `a_( n) gt 7 AA n ge 1`

C

C) `a_(n) lt 4 AA n ge 1`

D

D) `a_(n) lt 3 AA n ge 1`

Text Solution

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The correct Answer is:
A
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