Home
Class 11
MATHS
The value of sum(i=0)^oosum(j=0)^oosum(k...

The value of `sum_(i=0)^oosum_(j=0)^oosum_(k=0)^oo1/(3^i3^j3^k)` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Find the value of underset((inejnek))(sum_(i=0)^(oo)sum_(j=0)^(oo)sum_(k=0)^(oo))1/(3^(i)3^(j)3^(k)) .

S=sum_(i=1)^nsum_(j=1)^isum_(k=1)^j1

sum_(i=1)^(oo)sum_(j=1)^(oo)sum_(k=1)^(oo)(1)/(a^(i+j+k)) is equal to (where |a| gt 1 )

sum_(j=0)^(oo)(-3)^(-j)

If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) +…+ C_(n) x^(n) , find the values of the following . sum_(i=0)^(n) sum_(j=0)^(n) (i+j) C_(i) C_(j)

Evaluate sum_(i=0)^(n)sum_(j=0)^(n)sum_(k=0)^(n)((n),(i))((n),(j))((n),(k)), where((n),(r))=""^(n)C_(r) : (a) is less than 500 if n = 3 (b) is greater than 600 if n = 3 (c) is less than 5000 if n = 4 (d) is greater than 4000 if n = 4

Value of sum_(k=1)^oosum_(r=0)^k1/(3^k)(k C_r) is 2/3 b. 4/3 c. 2 d. 1

The value of sum_(0leiltjle5) sum(""^(5)C_(j))(""^(j)C_(i)) is equal to "_____"

Evaluate sum_(i=0)^(n)sum_(j=0)^(n) ""^(n)C_(j) *""^(j)C_(i), ile j .

The value of (""^(47)C_(4))/(""^(57)C_(4))+sum_(j=0)^(3)(""^(50-j)C_(3))/(""^(57)C_(53))+sum_(j=0)^(5)""^((56-k)C_(53-k))/(""^(57)C_(4)) is :

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If (p+q)t h term of a G.P. is a and its (p-q)t h term is b where a ,b ...

    Text Solution

    |

  2. Find the sum of n terms of the series whose nth term is T(n)=tanx/(2^n...

    Text Solution

    |

  3. The value of sum(i=0)^oosum(j=0)^oosum(k=0)^oo1/(3^i3^j3^k) is

    Text Solution

    |

  4. Let a1,a2,.........an be real numbers such that sqrt(a1)+sqrt(a2-1)+...

    Text Solution

    |

  5. If log(2)(5xx2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P., then x equa...

    Text Solution

    |

  6. Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...

    Text Solution

    |

  7. If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...

    Text Solution

    |

  8. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  9. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

    Text Solution

    |

  10. The sum of the first three terms of a strictly increasing G.P. is alph...

    Text Solution

    |

  11. If (log)3 2,(log)3(2^x-5) and (log)3(2^x-7/2) are in arithmetic progre...

    Text Solution

    |

  12. If p is the first of the n arithmetic means between two numbers and q ...

    Text Solution

    |

  13. If S1, S2 ,S3,.........Sn,........ are the sums of infinite geometri...

    Text Solution

    |

  14. The interior angles of a polygon are in arithmetic progression. The sm...

    Text Solution

    |

  15. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

    Text Solution

    |

  16. How many geometric progressions are possible containing 27, 8 and 12 a...

    Text Solution

    |

  17. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

    Text Solution

    |

  18. Find the sum 1+2(1+1/50)+3(1+1/50)^(2)+…50 terms.

    Text Solution

    |

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

    Text Solution

    |

  20. If a1, a2, an are in A.P. with common difference d!=0 , then the sum ...

    Text Solution

    |