Home
Class 11
MATHS
If pth, qth, and rth terms of an A.P. ar...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, then show that (1) a(q-r)+b(r-p)+c(p-q)=0 (2)(a-b)r+(b-c)p+(c-a)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

The p^(t h),q^(t h) and r^(t h) terms of an A.P. are a, b, c, respectively. Show that (q-r)a+(r-p)b+(p-q)c=0 .

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 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 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

If p^(t h),\ q^(t h),\ a n d\ r^(t h) terms of an A.P. and G.P. are both a ,\ b\ a n d\ c respectively show that a^(b-c)b^(c-a)c^(a-b)=1.

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

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

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

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Is 184 a term of the sequence 3,7,11, ... ?

    Text Solution

    |

  2. If pth,qth and rth terms of an A.P. are a, b, c respectively, then sho...

    Text Solution

    |

  3. If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, the...

    Text Solution

    |

  4. Show that the sum of (m+n)^(t h)a n d\ (m-n)^(t h) term of an A.P. is ...

    Text Solution

    |

  5. If m times the m^(t h) term of an A.P. is equal to n times its n^(t h)...

    Text Solution

    |

  6. If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove ...

    Text Solution

    |

  7. If the mth term of an A.P. be 1//n and nth term be 1//m then show that...

    Text Solution

    |

  8. Determine the number of terms in the terms in the A.P. 3,7,11…407. ...

    Text Solution

    |

  9. How many numbers of two digits are divisible by 7?

    Text Solution

    |

  10. Show that there is no A.P. which consists of only distinct prime nu...

    Text Solution

    |

  11. In the arithmetic progressions 2,5,8,… upto 50 terms and 3,5,7,9… upto...

    Text Solution

    |

  12. Find: 10 t h term of the A.P. 1,4,7,10..

    Text Solution

    |

  13. Find: nth term of the A.P. 13,8,3,-2,…

    Text Solution

    |

  14. Find: 18th term of the A.P. sqrt(2),\ 3sqrt(2),\ 5sqrt(2) ddot

    Text Solution

    |

  15. Evaluate (sqrt(3)-sqrt(2))^6+(sqrt(3)+sqrt(2))^6dot

    Text Solution

    |

  16. If the sequence an is A.P., show that a(m+n)+a(m-n)=2amdot\

    Text Solution

    |

  17. Which term of the A.P. 3,8,13… is 248?

    Text Solution

    |

  18. Which term of the A.P. 84,80,76… is 0?

    Text Solution

    |

  19. Which term of the A.P. 4,9,14… is 254?

    Text Solution

    |

  20. Is 68 as term of the A.P. 7,10,13,…?

    Text Solution

    |