Home
Class 11
MATHS
The sum of the first n odd number is :...

The sum of the first n odd number is :

A

2n

B

`n^2`

C

`(n(n-1))/2`

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos
  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Show that the sum of first n even numbers is equal to (1+1/n) times the sum of first n odd numbers.

If sum of the mth powers of first n odd numbers is lambda,Aamgt1 , then (A) lambdaltn^(m) (B) lambdagtn^(m) (C) lambdaltn^(m+1) (D) lambdagtn^(m+1)

Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum opf the first n even natural numbers and sum of the first n odd natural numbers is n.

By the Principle of Mathematical Induction, prove the following for all n in N : 1+3+5+....... +(2n-1) =n^2 i.e. the sum of first » odd natural numbers is n^2 .

The sum of first 30 natural numbers is:

If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k is equal to:

Sum of first 10 odd numbers is ________

The arithmetic mean of first n odd natural numbers is :

Find the sum of first n natural numbers.

State whether the following statement is true or false. Give reasons for your answers. The sum of two odd numbers is odd.

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. 5th term of a G.P. is 2, then the product of first 9 terms is:

    Text Solution

    |

  2. If the pth , qth , rth , terms of a GP . Are x,y,z respectively prove ...

    Text Solution

    |

  3. The sum of the first n odd number is :

    Text Solution

    |

  4. If the sum of n natural numbers is one sixth of their squares, then n ...

    Text Solution

    |

  5. The sum of the numbers 1, 4, 9, 16, ... , 100 is :

    Text Solution

    |

  6. If p, q, r are in A.P. while x, y, z are in G.P., prove that x^(q-r).y...

    Text Solution

    |

  7. If a^x=b^y=c^z and a, b, c are in G.P. then x,y,z are in :

    Text Solution

    |

  8. If a,b,c are in AP and (a+2b-c)(2b+c-a)(c+a-b)=lambdaabc, then lambda...

    Text Solution

    |

  9. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

    Text Solution

    |

  10. Sum of the series 1^(2) + 3^(2) + 5^(2) + … + n^(2) is :

    Text Solution

    |

  11. 11^3+12^3+13^3+....+20^3 is :

    Text Solution

    |

  12. If the 10th term of a G.P. is 9 and 4th term is 4, then its 7th term i...

    Text Solution

    |

  13. The 6th term of a G.P. is 32 and its 8th term is 128, then the value o...

    Text Solution

    |

  14. 11^3+12^3+13^3+....+20^3 is :

    Text Solution

    |

  15. A boy goes to school from his home at a speed of x km/hr. and comes ba...

    Text Solution

    |

  16. If a,a(1),a(2),a(3),"......",a(2n)b are in AP and a,b(1),b(2),b(3),".....

    Text Solution

    |

  17. The sum of the products of the ten numbers pm1,pm2,pm3,pm4,pm5 takung ...

    Text Solution

    |

  18. Find the value of the expression sum(i=1)^(n)sum(j=1)^(i)sum(k=1)^(j)1...

    Text Solution

    |

  19. If x is a positive number different from 1, such that logax,logbx and ...

    Text Solution

    |

  20. For what value of m, (a^(m+1)+b^(m+1))/(a^m+b^m) is the arithmetic mea...

    Text Solution

    |