Home
Class 11
MATHS
Prove that the sum of n number of terms ...

Prove that the sum of `n` number of terms of two different A.P. s can be same for only one value of `ndot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If the sum of 8 terms of an A.P. is 64 and the sum of 19 terms is 361, find the sum of n terms.

If the sum of n terms of an A.P. is S_n=3n^2+5n . Write its common difference.

The sum of n terms of an A.P. is (n^(2)+5n). Its common difference is :

The sum of n terms of an A.P. is 3n^(2)+5 . The number of term which equals 159, is

The sum of first n terms of an A.P. is 5n ^(2)+ 4n, its common difference is :

Sum of first terms of an A.P. is 9 less than the sum of next 3 terms of the same A.P. and second term is 2 then 4^(th) term of that A.P. is :

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

The ratio of the sum of n terms of two A.P. s is (7n+1):(4n+27) . Find the ratio of their mth terms.

The ratio of the sum of n terms of two A.P.\'s is (3n+1):(4n+3). Find the ratio of their mth terms.

Questions on Sum of n terms in A.P.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth ...

    Text Solution

    |

  2. If the sum of three consecutive numbers in A.P., is 24 and their pr...

    Text Solution

    |

  3. Prove that the sum of n number of terms of two different A.P. s can be...

    Text Solution

    |

  4. In an A.P. if S1=T1+T2+T3+.....+Tn (n is odd)S2=T2+T4+T6+.........+T(n...

    Text Solution

    |

  5. If the sum of the series 2, 5, 8, 11, ... is 60100, then find the valu...

    Text Solution

    |

  6. The digits of a positive integer, having three digits, are in A.P. and...

    Text Solution

    |

  7. If eleven A.M. ‘s are inserted between 28 and 10, then find the number...

    Text Solution

    |

  8. Between 1 and 31, m numbers have been inserted in such a way that t...

    Text Solution

    |

  9. Find the sum of first 24 terms of the A.P. a1,a2, a3 ......., if it i...

    Text Solution

    |

  10. If the arithmetic progression whose common difference is nonzero the ...

    Text Solution

    |

  11. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

    Text Solution

    |

  12. If the first two terms of as H.P. are 2/5 and 12/13, respectively. The...

    Text Solution

    |

  13. Insert five arithmetic means  between 8 and 26. or Insert five numbers...

    Text Solution

    |

  14. If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove ...

    Text Solution

    |

  15. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

    Text Solution

    |

  16. If x ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H...

    Text Solution

    |

  17. Find the sum of all three-digit natural numbers, which are divisible b...

    Text Solution

    |

  18. If a ,b ,c ,and d are in H.P., then find the value of (a^(-2)-d^-2)/(b...

    Text Solution

    |

  19. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

    Text Solution

    |

  20. The product of the three numbers in G.P. is 125 and sum of their pr...

    Text Solution

    |