Home
Class 12
MATHS
If a(1), a(2), a(3),........, a(n),... a...

If `a_(1), a_(2), a_(3),........, a_(n)`,... are in A.P. such that `a_(4) - a_(7) + a_(10) = m`, then the sum of first 13 terms of this A.P., is:

A

10 m

B

12 m

C

13 m

D

15 m

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos
  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If a_(1), a_(2), a_(3) ,... are in AP such that a_(1) + a_(7) + a_(16) = 40 , then the sum of the first 15 terms of this AP is

If a_(1),a_(2),a_(3)............ are in A.P. such that a_(4)-a_(7),+a_(10)=m, then sum of 13 terms of this A.P., is;

It a_(1),a_(2),a_(3)...... terms of this A.P.such that a_(4)-a_(7)+a_(10), then the sum of first 13 terms of this A.P is

a_(1),a_(2),a_(3),......,a_(n), are in A.P such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then

Let a_(1),a_(2),a_(3),...a_(n),......... be in A.P.If a_(3)+a_(7)+a_(11)+a_(15)=72, then the sum of itsfirst 17 terms is equal to:

If a_(1),a_(2),a_(3),...,a_(100) are in A P such that a_(1)+a_(3)+a_(4)+a_(3)+a_(7)=20 then a_(4)=

If positive integers a_(1),a_(2),a_(3),..... are in A.P. such that a_(8)+a_(10)=24 then the value of a_(9) is.

The sixth term of an A.P.,a_(1),a_(2),a_(3),.........,a_(n) is 2. If the quantity a_(1)a_(4)a_(5), is minimum then then the common difference of the A.P.

Statement -1: If a_(1),a_(2),a_(3), . . . . .,a_(n), . . . is an A.P. such that a_(1)+a_(4)+a_(7)+ . . . .+a_(16)=147 , then a_(1)+a_(6)+a_(11)=98 Statement -2: In an A.P., the sum of the terms equidistant from the beginning and the end is always same and is equal to the sum of first and last term.

if a_(1),a_(2),...a_(n) are in A.P with a_(1)+a_(7)+a_(16)=40. Then the volume of a_(1)+a_(2)+...a_(15) is

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. If cos x = b.For what b do the roots of the equation form an A.P.?

    Text Solution

    |

  2. 25 trees are planted in a straight line 5 metre apart from each other....

    Text Solution

    |

  3. If a(1), a(2), a(3),........, a(n),... are in A.P. such that a(4) - a(...

    Text Solution

    |

  4. If a1,a2,a3,...,a(n+1) are in A.P. , then 1/(a1a2)+1/(a2a3)....+1/(ana...

    Text Solution

    |

  5. At what values of parameter a are there values of x such that the numb...

    Text Solution

    |

  6. Let Tr be the r^(th) term of an A.P whose first term is a and common d...

    Text Solution

    |

  7. Find the number of common terms to the two sequences 17,21,25,...,417 ...

    Text Solution

    |

  8. The sum of the series 2/3+8/9+(26)/(27)+(80)/(81)+ to n terms is n-1/2...

    Text Solution

    |

  9. If 1/(sqrt(b)+sqrt(c)),1/(sqrt(c)+sqrt(a)),1/(sqrt(a)+sqrt(b)) are in ...

    Text Solution

    |

  10. let 0ltphiltpi/2, x=sum(n=0)^oocos^(2n)phi, y=sum(n=0)^oosin^(2n)phi a...

    Text Solution

    |

  11. If first and eightth terms of a G.P. are x^(-4) and x^(52) and it...

    Text Solution

    |

  12. Find the sum to n terms of the sequence : (i) (a+1/x)^(2), (x^(2)+1/...

    Text Solution

    |

  13. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  14. If S.P and R are the sum, product and sum of the reciprocals of n term...

    Text Solution

    |

  15. x and y are positive number.Let g and a be G.M. And AM of these number...

    Text Solution

    |

  16. Suppose x and y are real numbers such that -1 lt x lt y lt 1 Let G be ...

    Text Solution

    |

  17. The first two terms of a geometric progression add up to 12. The su...

    Text Solution

    |

  18. An infinite GP has first term x and sum 5, then x belongs to (2004, 1...

    Text Solution

    |

  19. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

    Text Solution

    |

  20. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

    Text Solution

    |