Home
Class 11
MATHS
If the set of natural numbers is partiti...

If the set of natural numbers is partitioned into subsets `S_1={1},S_2={2,3},S_3={4,5,6}` and so on then find the sum of the terms in `S_(50)dot`

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

If N, the set of natural numbers is partitioned into groups S_(1)={1},S_(2)={2,3},S_(3)={4,5,6,7},S_(4)={8,9,10,11,12,13,14,15},"....", find the sum of the numbers in S_(50).

If two natural numbers r and s are drawn one at a time, without replacement from the set S={1,2,3,….n}, then find P (rlep//slep) where p in S.

Removing which of the following numbers from the set S = {1,2,3,4,5,6} would move the medium of the set S to the right on the number line ?

The sets S_1,S_2,S_3, .......... are given by S_1={2/1},S_2={3/2,5/2},S_3={4/3,7/3(10)/3},S_4={5/4,9/4,(13)/4,(17)/4}, ddot Then the sum of the numbers in the set S_(25) is 320 (b) 322 (c) 326 (d) 325

If S_n denotes the sum of first n natural number then S_1 + S_2x + S_3 x^2 +……+S_n x^(n-1) + ……oo terms =

let S_(n) denote the sum of the cubes of the first n natural numbers and s_(n) denote the sum of the first n natural numbers , then sum_(r=1)^(n)(S_(r))/(s_(r)) equals to

If S is the set of all real numbers x for which > 0 (2x-1)/(2x^3+3x^2+x) and P is the subset of S,

Consider the sequence of natural numbers s_0,s_1,s_2 ,... such that s_0 =3, s_1 = 3 and s_n = 3 + s_(n-1) s_(n-2) , then

If P(S) denotes the set of all subsets of a given set S, then the number of one-to-one functions from the set S= {1,2,3} to the set P(S) is

Let S_n(n leq 1) be a sequence of sets defined by S_1{0},S_2={3/2,5/2},S_3={15/4,19/4,23/4,27/4},....... then

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...

    Text Solution

    |

  2. Find the sum of the following series: (sqrt(2)+1)+1(sqrt(2)-1)+..........

    Text Solution

    |

  3. If the set of natural numbers is partitioned into subsets S1={1},S2={2...

    Text Solution

    |

  4. If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...

    Text Solution

    |

  5. If the sum of the squares of the first n natural numbers exceeds theri...

    Text Solution

    |

  6. If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...

    Text Solution

    |

  7. If sum(r=1)^n tr=n/8(n+1)(n+2)(n+3), then find sum(r=1)^n1/(tr)dot

    Text Solution

    |

  8. Find the sum to n terms of the series :1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ....

    Text Solution

    |

  9. If the sum to infinity of the series 3+(3+d)1/4+(3+2d)1/(4^2)+......oo...

    Text Solution

    |

  10. Find the sum to infinity of the series 1^2+2^2x+3^2x^2+oodot

    Text Solution

    |

  11. If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...

    Text Solution

    |

  12. Find the sum of the series 1-3x+5x^2-7x^3+ ton terms.

    Text Solution

    |

  13. In a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  14. If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...

    Text Solution

    |

  15. The AM of teo given positive numbers is 2. If the larger number is inc...

    Text Solution

    |

  16. Find the sum of the series 1+3x+5x^2+7x^3+..........upto n terms.

    Text Solution

    |

  17. If (a-x)/(p x)=(a-y)/(q y)=(a-z)/ra n dp ,q ,a n dr are in A.P., then...

    Text Solution

    |

  18. Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

    Text Solution

    |

  19. Find the sum (1^2)/2-(3^2)/(2^2)+(5^2)/(2^3)-(7^2)/(2^4)+....oodot

    Text Solution

    |

  20. If H is the harmonic mean between Pa n dQ then find the value of H//P+...

    Text Solution

    |