Home
Class 11
MATHS
If the sum of first p terms of an A.P. i...

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p+ q) terms.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the sum of first 10 terms of an A.P. is 4 times the sum of its first 5 terms, then find the ratio of first term and common difference.

If the 12th term of an A.P. is -13 and the sum of the first four terms is 24, what is the sum of the first 10 terms ?

If the sum of first n terms of an A.P. is cn^(2) then the sum of squares of these n terms is

If the first term of an A.P. is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, find the sum of first 30 terms.

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

If the first term of an A.P. is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, find the 20th term.

If the arithmetic progression whose common difference is nonzero the sum of first 3n terms is equal to the sum of next n terms. Then, find the ratio of the sum of the 2n terms to the sum of next 2n terms.

If the sum of first 7 terms of an AP is 49 and that of 17, terms is 289, find the sum of first n terms.

If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(1/m-1/p)=(m+p)(1/m-1/n)dot

PSEB-SEQUENCES AND SERIES-EXERCISE
  1. If the sum of n terms of an A.P. is (pn + qn^2), where p and q are con...

    Text Solution

    |

  2. The sums of n terms of two arithmetic progressions are in the ratio 5n...

    Text Solution

    |

  3. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  4. Sum of the first p, q and r terms of an A.P. are a, b and c, respectiv...

    Text Solution

    |

  5. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

    Text Solution

    |

  6. If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 1...

    Text Solution

    |

  7. Insert five numbers between 8 and 26 such that the resulting sequence ...

    Text Solution

    |

  8. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

    Text Solution

    |

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

    Text Solution

    |

  10. A man starts repaying a loan as first instalment of Rs. 100. If he inc...

    Text Solution

    |

  11. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  12. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

    Text Solution

    |

  13. Find the 12th term of a G.P. whose 8th term is 192 and the common rati...

    Text Solution

    |

  14. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

    Text Solution

    |

  15. The 4th term of a G.P. is square of its second term, and the first ter...

    Text Solution

    |

  16. Which term of the following sequence:- 2,2sqrt2,4,.....is 128?

    Text Solution

    |

  17. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

    Text Solution

    |

  18. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

    Text Solution

    |

  19. For what values of x, the numbers -2/7,x, -7/2 are in G.P.?

    Text Solution

    |

  20. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |