Home
Class 11
MATHS
The nth term of a sequence is defined as...

The nth term of a sequence is defined as follows. Find the first four terms: (i) `T_(n)=3n+1` (ii) `T_(n)=n^(2)+5`

Text Solution

Verified by Experts

The correct Answer is:
(i) `T_(1)=4, T_(2)=7,T_(3)=10, T_(4)=13` (ii) `T_(1)=6,T_(2)=9,T_(3)=14,T_(4)=21`
(iii) `T_(1)=2, T_(2)=6,T_(3)=12, T_(4)=20` (iv) `T_(1)=2,T_(2)=(5)/(2),T_(3)=(10)/(3),T_(4)=(17)/(4)`
(v) `T_(1)=3, T_(2)=9,T_(3)=27, T_(4)=81`
N/a
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9B|17 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9C|25 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

The nth term of a sequence in defined as follows. Find the first four terms : (i) a_(n)=3n+1 " " (ii) a_(n)=n^(2)+3 " " (iii) a_(n)=n(n+1) " " (iv) a_(n)=n+(1)/(n) " " (v) a_(n)=3^(n)

The nth term of a sequence is a_(n)=2n+3 . Find its first four terms.

Knowledge Check

  • The nth term of a sequence is a_(n)=n^(2)+5 . Find its first three terms.

    A
    `5 , 9 ,12`
    B
    `6 , 8 ,16`
    C
    `5 , 7 ,12`
    D
    `6 , 9 ,14`

    • Similar Questions

    Explore conceptually related problems

    Some sequences are defined as follows. Find their first four terms : (i) a_(1)=a_(2)=2, a_(n)=a_(n-1)-1, n gt 2 " " (ii) a_(1)=3, a_(n)=3a_(n-1), n gt 1

    The nth term of a sequence whose sum of n terms is 5n^(2)+2n ,is

    The nth term of a series is 3^(n)+2n; find the sum of first n terms of the series.

    If a_(n)=3n+4 is the nth term of an AP then find the first four terms

    Write the first two terms of the sequence (i) t_(n) = 3n-6 (ii) t_(n) = (1)/( n^(2)) - 1

    Write the first five terms of each of the following sequences whose nth terms are: (i) a_(n)=2^(n) (ii) T_(n)=(n(n+1)(2n+1))/6

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

    Home
    Profile