Home
Class 11
MATHS
The sum of infinite number of terms in G...

The sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

A

5

B

`3//5`

C

`8//5`

D

`1//5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|129 Videos
  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The sum of infinite number of terms of a G.P. is 4 and the sum of their cubes is 192. Find the series.

The sum of three numbers in G.P. is 21 and the sum of their squares is 189. Find the numbers.

The sum of 3 numbers in a G.P. is 19 and the sum of their squares is 133. Find the numbers.

The sum of the first three terms of an increasing G.P. is 21 and the sum of their squares is 189. Then the sum of its first n terms is

Find three numbers in G.P. whose sum is 13 and the sum of whose squares is 91.

The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.

The first terms of a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

The first term of a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

The first term of a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

The sum of intinite number of terms of a decreasing G.P.is 4 and the sum of the squares of its terms to infinity is 16/3 find the G.P.

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. If the fifth term of a G.P. is 2, then write the product of its 9 t...

    Text Solution

    |

  2. 1^3-2^3+3^3-4^3+........+9^3 is equal to

    Text Solution

    |

  3. The sum of infinite number of terms in G.P. is 20 and the sum of their...

    Text Solution

    |

  4. If 1, log (9) (3^(1 - x) + 2) and log(3) (4.3^(x) -1) are A.P. then...

    Text Solution

    |

  5. Two sequences lta(n)gtandltb(n)gt are defined by a(n)=log((5^(n+1))/...

    Text Solution

    |

  6. The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1...

    Text Solution

    |

  7. Natural numbers are written as 1, (2,3), (4,5,6).. Show that the sum...

    Text Solution

    |

  8. If the first term of an A.P. is 2 and common difference is 4, then ...

    Text Solution

    |

  9. If 1+(1+2)/2+(1+2+3)/3+ddotto\ n terms is Sdot Then, S is equal to (n(...

    Text Solution

    |

  10. The sum of 10 terms of the series sqrt(2)+sqrt(6)+sqrt(18)+ddoti s\ ...

    Text Solution

    |

  11. The (m+n)th and (m-n)th terms of a GP are p and q, respectively. Then,...

    Text Solution

    |

  12. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

    Text Solution

    |

  13. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

    Text Solution

    |

  14. Let the harmonic mean and geometric mean of two positive numbers be in...

    Text Solution

    |

  15. The sum of the series 1 + 2.2+ 3.2^(2) + 4.2^(3) + 5.2^(4) + ….. +...

    Text Solution

    |

  16. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

    Text Solution

    |

  17. If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and b...

    Text Solution

    |

  18. The 7th term of a H.P. is (1)/(10) and 12 th term is (1)/(25), find th...

    Text Solution

    |

  19. The length of side of a square is 'a' metre. A second square is formed...

    Text Solution

    |

  20. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |