Home
Class 11
MATHS
Sum of the first p, q and r terms of an ...

Sum of the first p, q and r terms of an A.P are a, b and c, respectively.Prove that `a/p(q-r)+b/q(r-p)+c/r(p-q)=0`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.3 )|12 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.4 )|10 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.1 )|14 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

Sum of the first p,q and r terms of an A.P are a,b and c,respectively.Prove that quad (a)/(p)(q-r)+(b)/(q)(r-p)+(c)/(r)(p-q)=0

If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

The sum of the first p,q,r terms of an A.P.are a,b,c respectively.Show that (a)/(p)(q-r)+(b)/(q)(r-p)+(c)/(r)(p-q)=0

The pth, qth and rth terms of an A.P. are a, b and c respectively. Show that a(q – r) + b(r-p) + c(p – q) = 0

If the p^(t h) ,q^(t h) and r^(t h) terms of a GP are a, b and c, respectively. Prove that a^(q-r)""b^(r-p)""c^(p-q)=1 .

The sum of the first p,q, rterms of an A.P are a,b, crespectively.Show that (a)/(p)[q-r]+(b)/(q)[r-p]+(c)/(r)[p-q]=0

If pth,qth and rth terms of an A.P.are a,b,c respectively,then show that (i) a(q-r) +b(r- p) +c(p-q)=0

If the pth, qth and rth terms of a G.P.are a,b,c respectively,prove that: a^((q-r))C()b^((r-p))dot c^((p-q))=1

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

MODERN PUBLICATION-SEQUENCES AND SERIES-NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.2 )
  1. Find the sum of odd integers from 1 to 2001.

    Text Solution

    |

  2. Find the sum of all natural numbers lying between 100 and 1000, whi...

    Text Solution

    |

  3. In an A.P., the first term is 2 and the sum of the first five terms is...

    Text Solution

    |

  4. How many terms of the A.P. -6,-(11)/(2),-5… are needed to give the sum...

    Text Solution

    |

  5. In an A.P., if p^(t h)term is 1/qand q^(t h)term is 1/p, prove that t...

    Text Solution

    |

  6. If the sum of a certain number of terms of the A.P. 25, 22, 19.... ...

    Text Solution

    |

  7. Find the sum to n terms of the A.P., whose kth term is 5k+1.

    Text Solution

    |

  8. If the sum of n terms of an A.P. is (pn+qn^(2)), where p and q are con...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The ratio of the sums of m terms and n terms of an A.P. is m^(2) : n^(...

    Text Solution

    |

  13. If the sum of n terms of an A.P. is 3n^(2)+5n and its mth term is 164,...

    Text Solution

    |

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

    Text Solution

    |

  15. "If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" is the A.M. between" a and b, t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The difference between any two consecutive interior angles of a polyg...

    Text Solution

    |