Home
Class 12
MATHS
The first and last term of an A.P. are a...

The first and last term of an A.P. are a and l respectively. If S be the sum of all the terms of the A.P., them the common difference is

A

`(l^(2)-a^(2))/(s-(l+a))`

B

`(l^(2)-a^(2))/(2s-(1+a))`

C

`(l^(2)+a^(2))/(2s-(1+a))`

D

`(l^(2)+a^(2))/(s-(l-a))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES LEVEL-2 (Single Correct Answer Type Questions)|11 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES CONCEPT-BASED (Single Correct Answer Type Questions)|15 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The first and last terms of an AP are a and l respectively.If S be the sum of terms then show that the common difference is (l^(2)-a^(2))/(2S-(a+l))

If the first and last term of an A.P. are 18 and 82 respectively, then S_(25)=

If the first and the last terms of an A.P. are -4 and 146 respectively and the sum of this A.P. is 7171 then its common difference is

The first and the last terms of an AP are 7 and 49 respectively.If sum of all its terms is 420, find its common difference.

The first term, common difference and last term of an A.P. are 12,6 and 252 respectively, Find the sum of all terms of this A.P.

If the first, second and the last terms of an A.P. are a,b,c respectively, then the sum of the A.P. is

The first and last terms of an A.P. are 1 and 7 . If the sum of its terms is 36 , then the number of terms will be

MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
  1. If G1 and G2 are two geometric means and A is the arithmetic mean inse...

    Text Solution

    |

  2. If A(1),A(2) be two A.M.'s and G(1),G(2) be two G.M.,s between a and b...

    Text Solution

    |

  3. The first and last term of an A.P. are a and l respectively. If S be t...

    Text Solution

    |

  4. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

    Text Solution

    |

  5. . The sum of an infinite number of terms of a G.P. is 20, and the sum ...

    Text Solution

    |

  6. The eighth term of a geometric progression is 128 and common ratio is ...

    Text Solution

    |

  7. l, m,n are the p^(th), q ^(th) and r ^(th) term of a G.P. all positive...

    Text Solution

    |

  8. If a1, a2, a3, be terms of an A.P. if (a1+a2++ap)/(a1+a2++aq)=(p^2)/(...

    Text Solution

    |

  9. The sum of 10 terms of the series sqrt2 + sqrt6 + sqrt18 +... is

    Text Solution

    |

  10. If 1^2+2^2+3^2+n^2-1015 then the value of n is equal to (A) 13 (B) 14 ...

    Text Solution

    |

  11. Sum of series 1^2+(1^2+2^2)+(1^2+2^2+3^2)+.... upto 22 terms is

    Text Solution

    |

  12. If a,b,c are in A.P and a^2, b^2, c^2 are in H.P then

    Text Solution

    |

  13. The mth term of an A. P. is n and nth term is m. Then rth term of it i...

    Text Solution

    |

  14. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

    Text Solution

    |

  15. If log(10)2, log(10)(2^(x)-1) and log(10)(2^(x)+3) are three consecuti...

    Text Solution

    |

  16. Suppose (1)/(2)x, lx,+1l,lx-1l,1l are in A.P., then sum to 10 terms of...

    Text Solution

    |

  17. Let the harmonic mean and geometric mean of two positive numbers be in...

    Text Solution

    |

  18. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  19. If log(a+c)+log(a+c-2b)=2log(a-c) then

    Text Solution

    |

  20. The sum of intergers from 1 to 100 that are divisible by 2 or 5 is -

    Text Solution

    |