Home
Class 12
MATHS
Write down the sequence whose nth term i...

Write down the sequence whose nth term is `2^n//n` and (ii) `[3+(-1)^n]//3^n`

Text Solution

Verified by Experts

(i) Let `t_(n)=2^(n)/n` and put n=1,2,3,4,… we get
`t_(1)=2,t_(2)=2,t_(3)=8//3,t_(4)=4`
So, the sequence is 2,2,8/3,4…
(ii) Let `t_(n)=[3+(-1)^(n)]//3^(n)` and put n=1,2,3,4,…
So, the sequence is `2//3,4//9,2/27,4/81`,….
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.1|3 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.2|10 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Single correct Answer|54 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

Find the sequence whose nth term is 3xx2^(3n-2)

Find the sequence whose nth term is 5n-12 .

Knowledge Check

  • Write the first five terms of the sequences in whose nth terms is : a_(n)=(-1)^(n-1).5^(n+1)

    A
    5 terms of given sequence are
    `a_(1)=25,a_(2)=-125,a_(3)=625,a_(4)=-3125,a_(5)=15625.`
    B
    5 terms of given sequence are
    `a_(1)=25,a_(2)=125,a_(3)=625,a_(4)=3125,a_(5)=15625.`
    C
    5 terms of given sequence are
    `a_(1)=-25,a_(2)=125,a_(3)=--625,a_(4)=3125,a_(5)=-15625.`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Write down the sequence whose nth term is (a) (-1)^(n) ((3n+2)/(5))

    Write down the sequence whose n ^(th) term is ( (-2) ^(n))/( (-1) ^(n) +2)

    Third term of the sequence whose nth term is 2n+5 is ____.

    Write down the sequence whose nth term is (b) (1)/(n^2)sin.((n pi)/(3)) .

    Find the first five terms of the sequence whose general term is given by a_(n) =((-1)^(n))/(3+n)

    Write the first five terms of the sequence whose n^(th) terms are : a_(n)=(-1)^(n-1)5^(n+1)

    Write the first five terms of each of the following sequences whose nth term is a_(n)=(3n-2)/(5)

    Home
    Profile