Home
Class 12
MATHS
The nth term of the sequence {1, (1)/(8)...

The nth term of the sequence `{1, (1)/(8), (1)/(27), (1)/(64),…}` is -

A

`(1)/(n)`

B

`(1)/(n^(2))`

C

`(1)/(n^(3))`

D

`(1)/(n^(3)-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 A (Very short Answer Type Questions)|19 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Multiple Choice Questions)|12 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Example|7 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

Find the 11th term of the sequence {(1)/(2), (1)/(3), (1)/(5), (1)/(8), (1)/(12),…} .

Prepare a series to first n terms of the sequence {(1)/(5),(1)/(7), (1)/(9), (1)/(11),…} .

Knowledge Check

  • The 5th term of the sequence {3, 1, (1)/(3), (1)/(9),…} is -

    A
    `(1)/(27)`
    B
    `(1)/(15)`
    C
    `(1)/(81)`
    D
    `(1)/(12)`

  • The 6th term of the sequence {1, 4, 9, 16, …} is -

    A
    25
    B
    36
    C
    32
    D
    64

    • Similar Questions

    Explore conceptually related problems

    Find the 6th and rth terms of the sequence {1, 8, 27, 64,..}.

    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.

    Find the 14th and nth terms of the G.P. {sqrt(5), 1, (1)/(sqrt(5)), (1)/(5),….} .

    Find the 5th and nth terms of the sequence [1, 4, 9, 16,….].

    Find the nth term of the series: 1, 2, 4, 8, ……

    Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first negative term?

    Home
    Profile