Home
Class 12
MATHS
1 . 3+3 . 5+5 . 7+.. . . to n terms =...

`1 . 3+3 . 5+5 . 7+.. . .` to `n` terms =

A

1)` (n)/(5) (3 n^(2)+7 n+5)`

B

2)`(n)/(2)(2 n^(2)+3 n+1)`

C

3)`(n)/(3)(4 n^(2)+6 n-1)`

D

4)`(n)/(4)(4 n^(2)+6 n+2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|32 Videos

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

Similar Questions

Explore conceptually related problems

3 + 5 + 7 + .... to n terms is

(1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. to n terms =

3+5+7+ …..sum to n terms

If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5+25+. . . . upto n terms then Delta= |[a,2b,4 c],[2,2,2],[2^n,3^n,5^n]|=

Prove 1.4.7+2.5.8+3.6.9+....... upto n terms =(n)/(4)(n+1)(n+6)(n+7)

Prove by mathematical induction that 1.4+4.7+7.10+…. up to n terms =n(3n^(2)+3n-2)

The sum of the series, (1)/(2.3) .2 + (2)/(3.4).2^(2) + (3)/(4.5).2^(3) + ….to n terms is

Check whether a] -1 is a term of 33, 31, 29, …..... b] 54 is a term of 3, 9, 15, ........... c] -10 is a term of -3, -5, -7, ......

Total number of divisors of n = 3^5. 5^7. 7^9 that are in the form of 4lambda + 1; lamda >=0 is equal to

Find the sum to n terms of the series (1)/(1*3*5*7*9)+(1)/(3*5*7*9*11)+(1)/(5*7*9*11*13)+"......" . Also, find the sum to infinty terms.

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. Sum to n terms of 2+4+6+8 ..=

    Text Solution

    |

  2. Sum to n terms of the series 1+(1+2)+(1+2+3)+.. ..

    Text Solution

    |

  3. 1 . 3+3 . 5+5 . 7+.. . . to n terms =

    Text Solution

    |

  4. 2 . 4+4 . 6+6 . 8+... to n terms =

    Text Solution

    |

  5. (b) Find the sum to n terms of the series 1 xx 2 xx 3 + 2 xx 3 xx 4 + ...

    Text Solution

    |

  6. 1+(1+2)/(2)+(1+2+3)/(3) +(1+2+3+4)/(4)+.. . to n terms =

    Text Solution

    |

  7. The sum of first 9 terms of the series : 1^3/1+(1^3+2^3)/(1+3)+(1...

    Text Solution

    |

  8. The sum of (1^(3))/(1)+(1^(3)+2^(3))/(1+2)+ (1^(3)+2^(3)+3^(3))/(1+2+3...

    Text Solution

    |

  9. Sum to n terms of the series (1)/(2 . 5) +(1)/(5 . 8)+(1)/(8 . 11)+..=

    Text Solution

    |

  10. (1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. to n terms =

    Text Solution

    |

  11. If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim(n...

    Text Solution

    |

  12. (1)/(1 . 4 . 7)+(1)/(4 .7 . 10)+(1)/(7 . 10 . 13)+.. . to n terms =

    Text Solution

    |

  13. Sum of the n terms of the series 1 . 2^(2)+2 . 3^(2)+3 . 4^(2)+..

    Text Solution

    |

  14. If t(n) denotes the nth term of the series : 2+3+6+11+18+"………." , th...

    Text Solution

    |

  15. Sum to n terms of the series1+3+7+13+.. .=

    Text Solution

    |

  16. Sum to n terms of the series3+15+35+63+.. ..

    Text Solution

    |

  17. The n^(th ) term of the series 1+5+12+22+35+.. ..

    Text Solution

    |

  18. Sum to n terms of the series2+6+12+20+.. is,

    Text Solution

    |

  19. Sum of n terms of the series 1+2 x+3 x^(2)+4 x^(3)+..,(x ne 1) is

    Text Solution

    |

  20. Sum of 25 terms of the series 1+(2)/(2)+(3)/(2^(2))+(4)/(2^(3))+.. ....

    Text Solution

    |