Home
Class 11
MATHS
Show that the ratio of the sum of first ...

Show that the ratio of the sum of first n terms of a G.P. and the sum of (n+1)th term to (2n)th term is `(1)/(r^(n))`.

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9H|9 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9I|9 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9F|23 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+1)^(t h) to (2n)^(t h) term is 1/(r^n)

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+1)^(t h) to (2n)^(t h) term is 1/(r^n)

If the sum of n terms of an A.P. is 2n^(2)+5n , then its n^(th) term

If the sum of first n terms of an A.P. is 3n^2 + 2n , find its r^(th) term.

If the sum of first n terms of an A.P. is an^(2) + bn and n^(th) term is An + B then

Find the sum of first n term of the A.P., whose nth term is given by (2n+1).

The sum of the first n terms of an A.P. is 3n^2+6n . Find the n^(th) term of this A.P.

If first term of a GP is a, third term is b and (n+1)th term is c. The (2n+1)th term of a GP is

The m^(th) term of an A.P. is n and n^(th) term is m its p^(th) term is

If the m^(th) term of an H.P. is n and the n^(th) term is m, show that its (mn)^(th) term is 1.