Home
Class 11
MATHS
The sum of some terms of G.P. is 315 who...

The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

Text Solution

Verified by Experts

The correct Answer is:
160;6
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT GUJARATI|Exercise EXERCISE 9.4|10 Videos

  • RELATIONS AND FUNCTIONS

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

  • SETS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|22 Videos

Similar Questions

Explore conceptually related problems

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

The 26th , 11th and the last term of an AP are 0,3 and -1/5 respectively. Find the common difference and the number of terms .

Find the 12th term of a G.P. whose 8th term is 192, and the common ratio is 2.

The sum of first three terms of a G.P. is 13/12 and their product is – 1. Find the common ratio and the terms.

The sum of first three terms of a G.P. is (39)/(10) and their product is 1. Find the common ratio and the terms.

The first and the last term of an AP are 7 and 49 respectively. If the sum of all its terms is 420, find the common difference.

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

If first term, second term and last term of an A.P are a,b and 2a respectively then there sum is……

NCERT GUJARATI-SEQUENCES AND SERIES-Miscellaneous Exercise On Chapter 9
  1. Find the sum of all two digit numbers which when divided by 4, yields ...

    Text Solution

    |

  2. If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |