Home
Class 11
MATHS
If the P^(th)and q^(th)terms of an A.Par...

If the `P^(th)`and `q^(th)`terms of an A.Pare a and b respectively,then show that the sum of first (p+q) terms of thath A.P is 1/2(p+q)`(a+b+(a-b)/(p-q))`

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPERS 2015

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

  • ANNUAL EXAMINATION QUESTION PAPERS 2017

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

If the pth and qth terms of an A.P. be a and b respectively, show that the sum of first (p+q) terms of the A.P. is (p+q)/(2)(a+b+(a-b)/(p-q)) .

The 5^(th), 8^(th) and 11^(th) terms of a G.P are p,q and s , respectively . Show that q^2 =ps .

The 5th and 13th terms of an A.P. are 16 and 28 respectively. Find the A.P.

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

The 5th and 13th term of an A.P are 5 and -3 respectively. Find the A.P and the 30th term.

If the first, second and last terms of A.P. be a, b, and c respectively, show that the sum of all terms of the A.P. is ((a+c)(b+c-2a))/(2(b-a)) .

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

If the m^(th) term and the n^(th) term of an A.P. are respectively (1)/(n)and(1)/(m) , then the (mn)^(th) term of the A.P. is

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If the pth , qth and rth terms of an A.P. be P, Q and R respectively then show that, p(Q-R) + q(R-P) + r(P-Q) = 0 .

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2016-EXERCISE
  1. Show that sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alp...

    Text Solution

    |

  2. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  3. If the P^(th)and q^(th)terms of an A.Pare a and b respectively,then sh...

    Text Solution

    |

  4. Find the probability of drawing 4 cards from a pack of 52 cards such t...

    Text Solution

    |

  5. Find the sum of n-terms of the following series:(x+1/x)^2+(x^2+1/x^2)^...

    Text Solution

    |

  6. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

    Text Solution

    |

  7. Find the equation of the circle passes through the points (4,3) and (-...

    Text Solution

    |

  8. Show that the area of the triangle formed by the lines y = m(1) x + c(...

    Text Solution

    |

  9. Find the value of cos B for the triangle formed by joining the points ...

    Text Solution

    |

  10. Evlauate lim(xrarr0)(cot2x-cosec2x)/x

    Text Solution

    |

  11. Find from the first principle,the derivative of f(x)=e^(x^2)at x=1.

    Text Solution

    |

  12. Prove the following by contradiciton ."The sum of a rational and an ir...

    Text Solution

    |

  13. Check the validity of the following compound propostions :"72 is a mul...

    Text Solution

    |

  14. Check the validity of the following compound propostions :"120 is a mu...

    Text Solution

    |

  15. Two students Anil and Ashima appeared is an examination. The probabili...

    Text Solution

    |

  16. Find the coefficient of variation of the following data:

    Text Solution

    |

  17. Find the general solution of x and y satisfying the equation 5sinx.cos...

    Text Solution

    |

  18. Find the domain of definition and range of the function f(x)=x/(1+x^2)...

    Text Solution

    |

  19. If f(x)=ax^2+bx+cand f(2)=1,f(3)=6,f(-1)=10,then find the value of f(1...

    Text Solution

    |

  20. If z=x+iy and |z-1|+|z+1|=4,then show that 3x^2+4y^2=12,where i=sqrt-1

    Text Solution

    |