Home
Class 12
MATHS
If S=(2^2-1)/(2)+(3^2-2)/6+(4^2-3)/12+....

If `S=(2^2-1)/(2)+(3^2-2)/6+(4^2-3)/12+......` ( up to 10 terms), then value of `S` is equal to -

A

`(123)/(11)`

B

`(10)/(11)`

C

`(13)/(11)`

D

`(120)/(11)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The sum of series 1/(1-3.1^2+1^4)+2/(1-3.3^2+2^4)+3/(1-3.3^2+3^4)+......... up to 10 terms, is equal to

If S_(n)=(1.2)/(3!)+(2.2^(2))/(4!)+(3.2^(2))/(5!)+...+ up to n terms, then sum of infinite terms is

If S_(n)=(1.2)/(3!)+(2.2^(2))/(4!)+(3.2^(3))/(5!)+... upto n terms then the sum infinite terms is

If 1+(1+2)/(2)+(1+2+3)/(3)+.... to n terms is S.Then,s is equal to

Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

If S=(1)/(1+1^(2)+1^(4))+(2)/(1+2^(2)+2^(4))+(3)/(1+3^(2)+3^(4))+......oo then find the value of 14S.

S_(n)=(1.2)/(3)+(2.3)/(3^(2))+(3.4)/(3^(3))......oo, then 4S is

The sum of the series (2)/(1.2)+(5)/(2.3)2^(1)+(10)/(3.4)2^(2)+(17)/(4.5)2^(3)+.... upto n terms is equal:

If 2^(10) + 2^(9) * 3^(1) + 2 ^(8) * 3^(2) + …. + 2 * 3^(9) + 3^(10) = S - 2^(11) , then S is equal to :

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. The value of sum(r=0)^n(a+r+a r)(-a)^r is equal to (-1)^n[(n+1)a^(n+1)...

    Text Solution

    |

  2. sum(r = 1)^(n) r. r! is equal to

    Text Solution

    |

  3. If S=(2^2-1)/(2)+(3^2-2)/6+(4^2-3)/12+...... ( up to 10 terms), then ...

    Text Solution

    |

  4. For what value of x, will the roots of the equation kx^(2) - 5x +6=0 ...

    Text Solution

    |

  5. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  6. The 10th common term between the series 3+7+11+ . . . And 1+6+11+ . . ...

    Text Solution

    |

  7. If Sn denote the sum of first n terms of an A.P. whose first term is a...

    Text Solution

    |

  8. If the angles A lt B lt C of a triangle are in A.P, then

    Text Solution

    |

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

    Text Solution

    |

  10. If(5+9+13+....to n terms)/(7+9+11+....to(n+1) terms)=17/16, then n=

    Text Solution

    |

  11. If log2,log(2^x-1)a n dlog2log(2^x+3) are in A.P., write the value of ...

    Text Solution

    |

  12. If a1,a,a3...an are in A.P then prove that a1^2-a2^2+a3^2-a4^2+....a(2...

    Text Solution

    |

  13. If cos x = b.For what b do the roots of the equation form an A.P.?

    Text Solution

    |

  14. 25 trees are planted in a straight line 5 metre apart from each other....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |