Home
Class 12
MATHS
The value of Sigma(i=1)^(n) Sigma(j=1)^(...

The value of `Sigma_(i=1)^(n) Sigma_(j=1)^(i) underset(k=1)overset(j)` =220, then the value of n equals

A

11

B

12

C

10

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
The sum equals `(n(n+1)(n+2))/6=220`
Which is true for n=10
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise EXERCIESE ( MULTIPLE CORRECT ANSWER TYPE )|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise (Multiple & Comprehension)|65 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.9|9 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

The value of sum_(i=1)^(n)sum_(j=1)^(i)sum_(k=1)^(j)=220 , then the value of n equals

The value of sum_(i=1)^(n) sum_(j=1)^(i) sum_(k=1)^(j) 1 is

The value of Sigma_(n=1)^(3) tan^(-1)(1/n) is

The value of sum_(i=1)^nsum_(j=1)^isum_(k=1)^j1=220 , then the value of n equals a.11 b. 12 c.10 d. 9

S=sum_(i=1)^(n)sum_(j=1)^(i)sum_(k=1)^(j)1

The value of Sigma_(r=1)^(n) (a+r+ar)(-a)^r is equal to

Find the sum Sigma_(j=1)^(n) Sigma_(i=1)^(n) I xx 3^j

The value of Sigma_(i=1)^(n)(.^(n+1)C_(i)-.^(n)C_(i)) is equal to

The value of int_(0)^(1)(Pi_(i=1)^(n)(x+i))(Sigma_(j=1)^(n)(1)/(x+j))dx is

CENGAGE-PROGRESSION AND SERIES-Exercise (Single)
  1. The sum 1+3+7+15+31+...to100 terms is 2^(100)-102 b b. 2^(99)-101 c. ...

    Text Solution

    |

  2. Consider the sequence 1,2,2,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th term...

    Text Solution

    |

  3. The value of Sigma(i=1)^(n) Sigma(j=1)^(i) underset(k=1)overset(j) =22...

    Text Solution

    |

  4. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

    Text Solution

    |

  5. If tn denotes the nth term of the series 2+3+6+11+18+….. Then t50 is

    Text Solution

    |

  6. The sum of series Sigma(r=0)^(r) (-1)^r(n+2r)^2 (where n is even) is

    Text Solution

    |

  7. If(1^2-t1)+(2^2-t2)+….+(n^2-tn)=(n(n^2-1))/(3) then tn is equal to

    Text Solution

    |

  8. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  9. If Hn=1+12++1/ndot , then the value of Sn=1+3/2+5/3++(99)/(50) is H(50...

    Text Solution

    |

  10. The sum to 50 terms of the series 3/1^2+5/(1^2+2^2)+7/(1^+2^2+3^2)+...

    Text Solution

    |

  11. Let S=4/19+44/(19)^2+444/(19)^3+...oo then find the value of S

    Text Solution

    |

  12. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

    Text Solution

    |

  13. If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...

    Text Solution

    |

  14. lim(nrarroo) Sigma(r=1)^(n) (r)/(1xx3xx5xx7xx9xx...xx(2r+1)) is equal ...

    Text Solution

    |

  15. The greatest interger by which 1+Sigma(r=1)^(30) rxxr ! is divisible...

    Text Solution

    |

  16. If Sigma(r=1)^(n) r^4=I(n), " then "Sigma(r=1)^(n) (2r -1)^4 is equal ...

    Text Solution

    |

  17. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))oo is equal to 3 b. 6...

    Text Solution

    |

  18. If x1,x2 …,x(20) are in H.P and x1,2,x(20) are in G.P then Sigma(r=1)^...

    Text Solution

    |

  19. The value of Sigma(r=1)^(n) (a+r+ar)(-a)^r is equal to

    Text Solution

    |

  20. The sum of series x/(1-x^2)+(x^2)/(1-x^4)+(x^4)/(1-x^8)+ to infinite t...

    Text Solution

    |