Home
Class 11
MATHS
Give first 3 terms of the sequence defin...

Give first 3 terms of the sequence defined by `a_n=n/(n^2+1)dot`

Text Solution

AI Generated Solution

To find the first three terms of the sequence defined by \( a_n = \frac{n}{n^2 + 1} \), we will substitute \( n = 1, 2, \) and \( 3 \) into the formula. ### Step-by-Step Solution: 1. **Calculate the first term \( a_1 \)**: \[ a_1 = \frac{1}{1^2 + 1} = \frac{1}{1 + 1} = \frac{1}{2} \] ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA|Exercise Solved Examples And Exercises|228 Videos

Similar Questions

Explore conceptually related problems

Write the first three terms of the sequence difined by a_(n) = n(n+1)

Write the first five terms of the sequence defined by a_(n)=(-1)^(n-1).2^(n)

Write the first three terms of the sequence defined by (i) a_(n)=n(n+2) (ii) a_(n)=n/(n+1)

Find the first four terms of the sequence defined by a_(1)=3 and a_(n)=3a_(n-1)+2, for all n.1.

Write the first three terms of the sequence defined by a_(1)=2,a_(n+1)=(2a_(n)+3)/(a_(n)+2)

find first 5 terms of the sequences, defined by a_(1) =-1 , a_(n) = ( a_(n-1))/n " for n ge 2

Write the first five terms in each of the sequences defined a_(n) = (n^(2))/(n+1)

What is the 20^(th) term of the sequence defined by a_(n)=(n-1)(2-n)(3+n)?

What is the 15^(th) term of the sequence defined by: a_(n)=(n-1)(2-n)(3+n)?

What is 18 th term of the sequence defined by a_(n)=(n(n-3))/(n+4)

RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. If log2,log(2^x-1),log(2^x+3) are in A.P., write the value of xdot

    Text Solution

    |

  2. The sums of first n terms of two A.P. ' s are in hte ratio (7n+2):(n+4...

    Text Solution

    |

  3. Give first 3 terms of the sequence defined by an=n/(n^2+1)dot

    Text Solution

    |

  4. First term of a sequence is 1 and (n+1)th term is obtained by adding (...

    Text Solution

    |

  5. 1,4,7,10,is an A.P. whose first term is 1 and the common difference is...

    Text Solution

    |

  6. 11, 7, 3, -1 is an A.P. whose first term is 11 and the common diffe...

    Text Solution

    |

  7. The nth term of a sequence is 3n-2 is the sequence an A.P.? If so, fin...

    Text Solution

    |

  8. If the nth term an\ of a sequence is given by an=n^2-n+1 write down i...

    Text Solution

    |

  9. A sequence is defined by an=n^3-6n^2+11 n-6. Show that the first three...

    Text Solution

    |

  10. Find the first four terms of the sequence defined by a1=3\ a n d\ an=3...

    Text Solution

    |

  11. Write the first five terms in each of the following sequence: a1=1,\ a...

    Text Solution

    |

  12. Write the first five terms in each of the following sequence: a1=1=\ a...

    Text Solution

    |

  13. Write the first five terms in each of the following sequence: a1=a2=2,...

    Text Solution

    |

  14. The Fibonacci sequence is defined by a1=1=a2,\ an=a(n-1)+a(n-2) for n ...

    Text Solution

    |

  15. Show that each of the following sequences is an A.P. Also, find the ...

    Text Solution

    |

  16. Show that each of the following sequences is an A.P. Also, find the ...

    Text Solution

    |

  17. The nth term of a sequence is given by an=2n^2+n+1. Show that it is no...

    Text Solution

    |

  18. Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term...

    Text Solution

    |

  19. Which term of the sequence 4,9,14,19…. is 124?

    Text Solution

    |

  20. How many terms are there in the sequence 3,6,9, 12 , 111 ?

    Text Solution

    |