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 TELUGU|Exercise EXERCISE 9.4|10 Videos
  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 2|12 Videos
  • SETS

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

Similar Questions

Explore conceptually related problems

Write the G.P. If the first term a=3, and the common ratio r= 2.

Write the G.P if the first term , a= 4 , and the common ratio , r=2 .

If S_(n) represents the sum of n terms of G.P whose first term and common ratio are a and r respectively, then s_(1) + s_(2) + s_(3) + …+ s_(n) =

Write the terms of the G.P. When the first term 'a' and the common ratio 'r' are given. a= 5, r = 2

Write three terms of G.P. when the first term 'a' and the common ratio 'r' are given. a= 10, r = -2

Write the terms of the G.P. When the first term 'a' and the common ratio 'r' are given. a = sqrt3 , r=1/2

Write three terms of G.P. when the first term 'a' and the common ratio 'r' are given. r = -13 and a =1

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

NCERT TELUGU-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),...

    Text Solution

    |

  9. Find the 5th term of the sequence 1,sqrt2, 2

    Text Solution

    |

  10. Find the 6th term from the end of the A.P:17,14,11,.......-40

    Text Solution

    |

  11. If a ((1)/(b) + (1)/(c )), b ((1)/(c )+ (1)/(a)), c ((1)/(a) + (1)/(b)...

    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. Find the product of the following pairs? -10ab^(3),-6a^(2)b

    Text Solution

    |

  14. Find the product of the following pairs? 6pq,-2pq^(2)

    Text Solution

    |

  15. Find the product of the following pairs? 2lm,5m

    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 S(1), S(2),S(3), are the sums of first n natural numbers their squ...

    Text Solution

    |

  20. Find the product of the following pairs? a^(2)bc,12b^(3)c

    Text Solution

    |