Home
Class 12
MATHS
If t(n) denotes the nth term of the seri...

If `t_(n)` denotes the nth term of the series `:`
`2+3+6+11+18+"………."` , then `t_(50)` is `:`

A

`(49)^(2)-1`

B

`(49)^(2)+2`

C

`50^(2)`

D

`(50)^(2)-1`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Find the nth term of the series 2+5+12+31+86+"..." .

The sum to n terms of the series 11 + 103 + 1005 + …. Is

Find the nth term of the series 1+5+18+58+179+"..." .

Find the sum to n terms of the series 5+ 11 + 19 + 29+ 41+ ……

Find the nth term of the series =1+4+10+20+35+".." .

Find the nth term of the series 1+2+5+12+25+46+"...." .

Sum to n terms of the series 2+6+12+20+.. is,

Find the sum to n terms of the series , 5+11+19+29+41…

If the nth term of the sequence is a_ n =4n -3 then find 17th term

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. (1)/(1 . 4 . 7)+(1)/(4 .7 . 10)+(1)/(7 . 10 . 13)+.. . to n terms =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Sum of 25 terms of the series 1+2 . 2+3 . 2^(2)+4 . 2^(3)+5 . 2^(4)+...

    Text Solution

    |

  11. The n^(th ) term of the series 1+4+13+40+.. .is

    Text Solution

    |

  12. 3+5+7+ …..to n^(th) term is

    Text Solution

    |

  13. The n^(th ) term of the series4+13+28+49+.. . Is

    Text Solution

    |

  14. The sum 1^(2)+1+2^(2)+2+3^(2)+3+..+n^(2)+n is

    Text Solution

    |

  15. Find the sum to n terms of the series 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)...

    Text Solution

    |

  16. sum(n=1)^(n) (1)/((4 n-1)(4 / t+3))=

    Text Solution

    |

  17. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

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

    Text Solution

    |

  19. (1)/(1 . 4)+(1)/(4 . 7)+(1)/(7 . 10)+.. .. .. ..=

    Text Solution

    |

  20. 1+(3)/(2)+(5)/(2^(2))+(7)/(2^(3))+.. .. to infty=

    Text Solution

    |