Home
Class 12
MATHS
The odd numbers are divides as follows :...

The odd numbers are divides as follows `:`
`{:(,,1,3,,),(,5,7,9,11,),(13,15,17,19,21,23):}` `"…………………………………………………….."` then the sum of nth row is `:`

A

`2^(n-1) [2^(n) + 2^(n-1) -1]`

B

`(1)/(2) ( 2n+1)`

C

2n

D

`4n^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

A random variable X has the following probality distribution : {:(x,:0,1,2,3,4,5,6,7,8),(P(X=x),a,3a,5a,7a,9a,11a,13a,15a,17a):} then the value of a is :

If the natural numbers are divided into the groups (1),(2,3),(4,5,6),(7,8,9,10) .. then the sum of the elements of 25^(th ) group is

Find the median for the following data. 3,9,5,10,18,4,7,19,21.

Consider the pattern shown below: {:(" Row ",1,1,,,),(" Row ",2,3,5,,),(" Row ",3,7,9,11,),(" Row ",4,13,15,17,19):}etc. The number at the end of row 60 is

If A = {:[( 1,1,-2),(2,1,-3),(5,4,-9)]:}, find |A|

The sequence of odd natural numbers is divided into groups 1,3,5,7,9,11,"…." and so on. Show that the sum of the numbers in nth group is n^(3) .

Find the number of terms in each of the following APs : 7,13,19,…205

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 A={1,3,5,7,9,11,13,15,17},B={2,4,…, 18} and N is the universal set, then A^c uu ((A uuB)nnB^c) is :

If A={1,3,5,7,9,11,13,15,17},B={2,4,…, 18} and N is the universal set, then A^c uu ((A uuB)nnB^c) is :

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. The first term of a G. P. is 1. The sum of the third and fifth terms i...

    Text Solution

    |

  2. Suppose a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in G.P. If a ...

    Text Solution

    |

  3. If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equ...

    Text Solution

    |

  4. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

  5. The sum of first n terms of the series 1^(2) + 2.2^(2) +3^(2) + 2. 4...

    Text Solution

    |

  6. If s= sum(n=0)^(oo) a^(n) , y = sum(n=0)^(oo) b^(n) , z= sum (n=0)^(oo...

    Text Solution

    |

  7. If alpha, beta are roots of ax^(2) + bx + c =0 , a cancel(=) 0 and alp...

    Text Solution

    |

  8. Let a(1) , a(2) , a(3) , "……………" be terms of an A.P. If (a(1) + a(2) +...

    Text Solution

    |

  9. If a(r ) gt 0, r in N and a(1), a(2) , a(3) ,"……..",a(2n) are in A.P....

    Text Solution

    |

  10. Let x,y,z be three positive prime numbers. The progression in which sq...

    Text Solution

    |

  11. If x = sum(n=0)^(oo) a^(n) .,y=sum(n=0)^(oo) b^(n) , z = sum(n=0)^(oo)...

    Text Solution

    |

  12. underset("n-digits")((666"……"6))^(2) +underset("n-digits") (( 888"…" 8...

    Text Solution

    |

  13. If sum(r=1)^(n) t(r ) = sum(k=1)^(n) sum(j=1)^(k) sum(i=1)^(j) 2, then...

    Text Solution

    |

  14. The odd numbers are divides as follows : {:(,,1,3,,),(,5,7,9,11,),(1...

    Text Solution

    |

  15. If x(1), x(2), x(3) as well as y(1) , y (2) , y (3) are in G.P. with t...

    Text Solution

    |

  16. If a(1) , a(2), "……………" a(n) are in H.P., then the expression a(1) a(2...

    Text Solution

    |

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

    Text Solution

    |

  18. The first two terms of a geometric progression add upto 12. The sum of...

    Text Solution

    |

  19. The sum to infinity of the series : 1+ ( 2)/( 3) + ( 6)/( 3^(2)) +(...

    Text Solution

    |

  20. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

    Text Solution

    |