Home
Class 11
MATHS
Write the first five terms of the seque...

Write the first five terms of the sequence whose `n^(t h)`terms are : `a_n=n(n^2+5)/4`

Text Solution

Verified by Experts

We need to find the first five terms
i.e. `a_1, a_2, a_3, a_4 & a_5`

Given `a_n=n((n^2+5)/4) " " " " " (1)`


Putting `n=1` in `(1)`

`a_1=1((1^2+5)/4)=(1+5)/4=6/4=3/2`


Putting `n=2` in `(1)`

`a_2=2((2^2+5)/4)=2xx(4+5)/4=2xx9/4=9/2`


Putting `n=3` in `(1)`

`a_3=3((3^2+5)/4)=3xx(9+5)/4=2xx14/4=21/2`


Putting `n=4` in `(1)`

`a_4=4((4^2+5)/4)=4xx(16+5)/4=4xx21/4=21`


Putting `n=5` in `(1)`

`a_5=5((5^2+5)/4)=5xx(25+5)/4=5xx30/4=75/2`

Hence first five terms are

`3/2,9/2,21/2,21` and `75/2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.4|10 Videos

  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.5|6 Videos

  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.3|32 Videos

  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 2.3|5 Videos

  • SETS

    NCERT ENGLISH|Exercise EXERCISE 1.5|7 Videos

Similar Questions

Explore conceptually related problems

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+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=(-1)^(n-1)5^(n+1)

Write the first five terms of each of the sequences whose nth terms are : a_(n)=2^(n)

Find the indicated terms of the sequence whose n^(t h) terms are : a_n=(n(n-2))/(n+3) ; a_(20)

Find the indicated terms of the sequence whose n^(t h) terms are : a_n=(n^2)/(2^n) ; a_7

Write the first five terms of each of the following sequences whose n th terms are: a_n=3n+2 (ii) a_n=(n-2)/3 a_n=3^n (iv) a_n=(3n-2)/5 a_n=(-1)^n .2^n (vi) a_n=(n(n-2))/2 (vii) a_n=n^2-n+1 (viii) a_n=2n^2-3n+1 (ix) a_n=(2n-3)/6

Write the first four terms of the sequence whose nth term is given (2^(n))/(n^(2))

Find the indicated terms of the sequence whose n^(t h) terms are : a_n=4n-3;a_(17),a_(24)

Home
Profile