Home
Class 12
MATHS
For the sequence {u(n)} if u(1) = (1)/(2...

For the sequence `{u_(n)}` if `u_(1) = (1)/(2)` and `u_(n+1) = (u_(n))/(1+2u_(n))(n ge 1)`, find the value of `u_(96)`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(192)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Example|7 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 A (Multiple Choice Questions)|4 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

For the sequence {u_(n)} if u_(1) = (1)/(4) and u_(n+1) = (u_(n))/(2+u_(n)) , find the value of (1)/(u_(50)) .

For the sequence {u_(n)} if u_(1) - 2 and u_(r+1) = u_(r) +r+2 , for all natural number r, find the 10th term of the sequence.

Determine the first five terms of the sequence defined by, u_(1) = -2, u_(2) = 2 and u_(n) = (n)/(n-2)u_(n-1), n gt 2 .

Determine the first four terms of the sequence defined by, u_(1) = -3, u_(n) = (1)/(n-1). u_(n-1) for n ge 2 . Also find the series of first five terms of the sequence.

Determine the first five terms of the sequence defined by, u_(1) = 4 and u_(n) = 3u_(n-1) + 2 for n ge 2 . Also find the series of first five terms of the sequence.

If S_(n) = u_(1) + u_(2) + u_(3)+…+u_(n) = 4^(n) -1 , find the first four terms of the sequence {u_(n)} .

IF the nth terms of the sequence {u_(n)} is u_(n) = (-1)^(n-1).2^(-n) , find the corresponding series up to first five terms.

If S_(n) = u_(1) +u_(2) + ….+ u_(n) = n^(2) + 2n , find the first four terms of the series.

If u_(n)=int_(0)^((pi)/(4))tan^(n)xdx , show that, u_(n)+u_(n-2)=(1)/(n-1)(ngt1) , hence find u_(5)

If the rth term of the sequence {u_(n)} is u_(r) = (-1)^(r-1). 3^(2-r) , find the first five terms of the sequence, also find the corresponding series.