Home
Class 12
MATHS
If a(n)=sqrt(7+sqrt(7+sqrt(7+.....))) ha...

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

A

`a_(n)gt7,AAnge1`

B

`a_(n)gt3,AAnge1`

C

`a_(n)lt4,AAnge1`

D

`a_(n)lt3,AAnge1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

Similar Questions

Explore conceptually related problems

4sqrt7xx2sqrt3 =

4sqrt7 xx 2sqrt3=............

Prove that by using the principle of mathematical induction for all n in N : (2n+7) lt (n+3)^(2)

Verify by the method of contradiction. p:sqrt7 is irrational

If A=[(sqrt(7), -3), (-sqrt(5), 2), (sqrt(3), -5)] then find the transpose of -A.

If A=({:(sqrt(7) , -3),(-sqrt(5),2),(sqrt(3),-5):}) then find the transpose of -A .

Prove that log_(7) log_(7)sqrt(7sqrt((7sqrt7))) = 1-3 log_(7) 2 .

By mathematical induction prove that 2^(3n) -1 is divisible by 7.