Home
Class 12
MATHS
Write the first three terms of the seque...

Write the first three terms of the sequence defined by `a_1 2,a_(n+1)=(2a_n+3)/(a_n+2)` .

Text Solution

Verified by Experts

Put
`n=1` in `a_(n+1)=(2a_(n)+3)/(a_(n)+2)`, we have
`a_(1+1)=a_(2)=(2a_(1)+3)/(a_(1)+2)=(2(2)+3)/((2)+2)=7/4`
Put n=2, then we have `a_(2+1)=a_(3)=(2a_(2)+3)/(a_(2)+2)`
`=(2(7/4)+3)/((7/4)+2)=26/15` ltbr gtSo, first three terms are 2,`7/4,26/15`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.4|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.5|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.2|1 Videos

  • PROBABILITY II

    CENGAGE ENGLISH|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos

Similar Questions

Explore conceptually related problems

Write the first three terms of the sequence defined by a_(n) = n(n+1)

Write the first five terms of the sequence defined by a_n=(-1)^(n-1). 2^n

Give first 3 terms of the sequence defined by a_n=n/(n^2+1)dot

Write the first three terms in each of the sequence defined by the following: a_n=3n+2 (ii) a_n=n^2+1

What is the 20^(t h) term of the sequence defined by a_n=(n-1)(2-n)(3+n)?

Find the first four terms of the sequence defined by a_1=3\ a n d\ a_n=3a_(n-1)+2 , for all n >1.

Find the first four terms of the sequence defined by a_1=3\ a n d\ a_n=3a_(n-1)+2 , for all n .1.

Write the first five terms of the sequence whose n^(t h) terms are : a_n=(2n-3)/6

Write the first five terms of the sequence whose n^(t h) terms are : a_n=2^n

Write the first five terms of the sequence whose n^(t h) terms are : a_n=n(n+2)

Home
Profile