Home
Class 11
MATHS
Write the first five terms in each of th...

Write the first five terms in each of the following sequence: `a_1=1=\ a_2,\ a_n=a_(n-1)+a_(n-2),\ n >2`

Text Solution

Verified by Experts


`a_ 1` `=1`
`a_n` =`a_(n−1)`​ +2,n>1
putting `n=2`
`a_ 2` =`a_(2−1)+2`
`=a_1``+2`
`=1+2=3`
`h=3`
`a_ 3` =`a_(3−1)` `+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 five terms in each of the following sequence: a_(1)=1,a_(n)=a_(n-1)+2,n>1

Write the first five terms in each of the following sequence: a_(1)=a_(2)=2,a_(n)=a_(n-1)-1,n>1

Write the first five terms of each of the following sequences whose nth term is a_(n)=(3n-2)/(5)

Write the first six terms of each of following sequences, (i) a_(1)=-1,a_(n)=(a_(n-1))/n,(nge2) (ii) a_(1)=4,a_(n+1)=2na_(n)

Find the next five terms of each of the following sequences given by: a_(1)=1,a_(n)=a_(n-1)+2,n>=2a_(1)=a_(2)=2,a_(n)=a_(n-1)-3,n>2a_(1)=-1,a_(n)=(a_(n-1))/(n),n>=2a_(1)=4,a_(n)=4a_(n-1)+3,n>1

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

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

Write the first five terms of each of the following sequences whose n th terms are: a_(n)=3n+2( ii) a_(n)=(n-2)/(3)a_(n)=3^(n)( iv )a_(n)=(3n-2)/(5)a_(n)=(-1)^(n)*2^(n)( vi) a_(n)=(n(n-2))/(2)a_(n)=n^(2)-n+1 (vii) a_(n)=2n^(2)-3n+1a_(n)=(2n-3)/(6)

Write the first five terms of the following sequence and obtain the corresponding series.a_(1)=a_(2)=2,a_(n)=a_(n-1)-1,n>2

Write the first five terms of the following sequence amd obtain the corresponding series. a_(1)=a_(2)=2,a_(n)=a_(n-1)-1,ngt2

RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. Find the first four terms of the sequence defined by a1=3\ a n d\ an=3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Is 184 a term of the sequence 3,7,11, ... ?

    Text Solution

    |

  13. If pth,qth and rth terms of an A.P. are a, b, c respectively, then sho...

    Text Solution

    |

  14. If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, the...

    Text Solution

    |

  15. Show that the sum of (m+n)^(t h)a n d\ (m-n)^(t h) term of an A.P. is ...

    Text Solution

    |

  16. If m times the m^(t h) term of an A.P. is equal to n times its n^(t h)...

    Text Solution

    |

  17. If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove ...

    Text Solution

    |

  18. If the mth term of an A.P. be 1//n and nth term be 1//m then show that...

    Text Solution

    |

  19. Determine the number of terms in the terms in the A.P. 3,7,11…407. ...

    Text Solution

    |

  20. How many numbers of two digits are divisible by 7?

    Text Solution

    |