Home
Class 11
MATHS
The first term of a G.P. is 1. The sum o...

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.

Text Solution

Verified by Experts

The correct Answer is:
`pm3`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise EXERCISE 9.4|10 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TAMIL|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

  • SETS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|26 Videos

Similar Questions

Explore conceptually related problems

If each term of an infinite G.P. is twice the sum of the terms following it, then find the common ratio of the G.P.

the sum of the first six terms of a GP is 9 times the sum of the first three terms. The common ratio is

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

Write the GP if the first term a=3, and the common ratio r=2.

The sum of first three terms of a G.P. is and their product is 1. Find the common ratio and the terms.

If the third term of a G.P is P. Then the Product of the first 5 terms of the G.P is

In an A.P, the first term is 2 and the sum of the first two terms is 5 . (i) Find the common difference

NCERT TAMIL-SEQUENCES AND SERIES-Miscellaneous Exercise On Chapter 9
  1. If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N ...

    Text Solution

    |

  2. The sum of some terms of G.P. is 315 whose first term and the common r...

    Text Solution

    |

  3. The first term of a G.P. is 1. The sum of the third term and fifth ter...

    Text Solution

    |

  4. The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...

    Text Solution

    |

  5. A G.P. consists of an even number of terms. If the sum of all the term...

    Text Solution

    |

  6. The sum of the first four terms of an A.P. is 56. The sum of the last ...

    Text Solution

    |

  7. If (a+bx)/(a-bx)=(b-cx)/(b-cx)=(c+dx)/(c-dx)( x ne 0) then show that ...

    Text Solution

    |

  8. Let S be the sum, P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  9. The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectiv...

    Text Solution

    |

  10. 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

    |

  11. If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n +...

    Text Solution

    |

  12. If a and b are the roots of x^2 – 3x + p = 0 and c, d are roots of x^...

    Text Solution

    |

  13. The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...

    Text Solution

    |

  14. If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P...

    Text Solution

    |

  15. Find the sum of the following series up to n terms: (i) 5+55+555+......

    Text Solution

    |

  16. Find the 20^(th) term of the series 2 xx 4 + 4 xx 6 + 6 xx 8 + ... + ...

    Text Solution

    |

  17. Find the sum of the first n terms of the series: 3+ 7 +13 +21 +31 +......

    Text Solution

    |

  18. If S1, S2, S3 are the sum of first n natural numbers, their squares a...

    Text Solution

    |

  19. Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/...

    Text Solution

    |

  20. Show that (1 xx 2^(2) + 2 xx 3^(2) + ... +n xx (n + 1)^(2))/(1^(2) xx ...

    Text Solution

    |