Home
Class 11
MATHS
Find the term indicated in each case: ...

Find the term indicated in each case:
(i) `t_(n)=4^(n)+n^(2)-n-1,t_(3)`
(ii) `h(n)=n^(2)-3n+4, h(10)`

Text Solution

Verified by Experts

The correct Answer is:
(i) 71 (ii) 74
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.1 )|14 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.2 )|18 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise TRUE/FALSE|4 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

Find the term indicated in each case: (i) a_(n)=(n^(2))/(2^(n)):a_(7) (ii) a_(n)=(n(n-2))/(n-3),a_(20) (iii) a_(n)=[(1+(-1)^(n))/2 3^(n)],a_(7)

Find the terms indicated in each case: (i) a_(n)=4n-3,a_(17),a_(24) (ii) a_(n)=(n-1)(2-n)(3+n),a_(1),a_(2),a_(3)

Find the terms (s) indicated in each case: (i) t_(n)=t_(n-1)+3(ngt1),t_(1)=1,t_(4) (ii) T_(n)=(T_(n-1))/(T_(n-2)),(ngt2),T_(1)=1,T_(2)=2,T_(6)

Find as indicated in each case: (i) t_(1)=1,t_(n)=2t_(n-1),(ngt 1),t_(6)=? (ii) S_(n)=S_(n-1)-1,(ngt2), S_(1)=S_(2)=2,S_(5)=?

Write the first two terms of the sequence (i) t_(n) = 3n-6 (ii) t_(n) = (1)/( n^(2)) - 1

Find the indicated terms of the sequence whose n^(th) terms are : a_(n)=(n(n-2))/(n+3)

Find the indicated term(s) in each of the followng A.P.'s (i) -1,-2,-3,-4………….,t_(100) (ii) n-1,n-2,n-3,………….,a_(m) (iii) a=3,d=2,a_(10),a_(n)

Find the sum of 'n' terms of the series whose n^(th) term is t_(n) = 3n^(2) + 2n .

Find the indicated terms in each of the following sequences whose nth nth terms are: t_(n)=(n^(2)(n+1))/(3),t_(1),t_(2)

Write the first five terms of each of the following sequences whose nth terms are: (i) a_(n)=2^(n) (ii) T_(n)=(n(n+1)(2n+1))/6

MODERN PUBLICATION-SEQUENCES AND SERIES-VERY SHORT ANSWER TYPE QUESTIONS
  1. Write the (i) 3rd (ii) 5 th (iii) 6th term of the sequence whose nth t...

    Text Solution

    |

  2. Write the first three terms of the sequence defined by (i) a(n)=n(n+...

    Text Solution

    |

  3. Find the term indicated in each case: (i) t(n)=4^(n)+n^(2)-n-1,t(3) ...

    Text Solution

    |

  4. Write the next term of the sequence: 1/6,1/3,1/2……..

    Text Solution

    |

  5. Which term in the A.P. 68,64,60 is -8?

    Text Solution

    |

  6. Find the A.M. between: (i) 3.7 and 5.5 (ii) 6 and -8

    Text Solution

    |

  7. (i) Find the 10 th term of the G.P. 5,25,125…………….. (ii) Find the ...

    Text Solution

    |

  8. Which term of the following sequences:(a) 2,2sqrt(2),4,. . . is 128? (...

    Text Solution

    |

  9. Find the indicated term of the following G.P.: 12, 8, 16/3, …………..t...

    Text Solution

    |

  10. In a GP the 3rd term is 24 and the 6th term is 192. Find the 10th t...

    Text Solution

    |

  11. Evaluate sum(n=1)^(13)(i^n+i^(n+1)), where n in Ndot

    Text Solution

    |

  12. Given a G.P. with a=1,r=sqrt(2). Find S(20) ??

    Text Solution

    |

  13. Find the sum of the infinite geometric series (1+1/3+1/9+1/27+...oo).

    Text Solution

    |

  14. Find the sum of series in GP 1/3, 1/9, 1/27……………….. up tooo

    Text Solution

    |

  15. 0.3,0.18,0.108,………….to oo

    Text Solution

    |

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

    Text Solution

    |

  17. Find the sum of the following series to infinity: 2//5+3//5^2\ +2//5^3...

    Text Solution

    |

  18. Find a rational number for the following which will have as its expant...

    Text Solution

    |

  19. Find the sum to inifinity of the following series: 1+2/3+3/(3^(2))+4...

    Text Solution

    |

  20. Find the sum of the series: (2^(2)+4^(2)+6^(2)+8^(2)+ ..."to n te...

    Text Solution

    |