Home
Class 10
MATHS
Find the next five terms of each of the ...

Find the next five terms of each of the following sequences given by: `a_1=1,a_n=a_(n-1)+2,ngeq2` `a_1=a_2=2,a_n=a_(n-1)-3,n >2` `a_1=-1,a_n=(a_(n-1))/n ,ngeq2` `a_1=4,a_n=4a_(n-1)+3,n >1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA|Exercise All Questions|251 Videos

  • CIRCLES

    RD SHARMA|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

If the sequence {a_n}, satisfies the recurrence, a_(n+1) = 3a_n - 2a_(n-1), n ge2, a_0 = 2, a_1 = 3, then a_2007 is

lf and be two sequences, given by a_n=x^(2^-n)+y^(2^-n),b_n=x^(2^-n)-y^(2^-n) then the value of a_1.a_2.a_3...a_n is

If a_1,a_2,….a_n are in H.P then (a_1)/(a_2+,a_3,…,a_n),(a_2)/(a_1+a_3+….+a_n),…,(a_n)/(a_1+a_2+….+a_(n-1)) are in

If the nonzero numbers a_1,a_2,a_3,....,a_n are in AP, prove that 1/(a_1a_2a_3)+1/(a_2a_3a_4)+...+1/(a_(n-2)a_(n-1)a_n)=1/(2(a_2-a_1))(1/(a_1a_2)-1/(a_(n-1)a_n)) .

If a_1,a_2,……….a_n are in H.P, then the expression a_1a_2+a_2a_3+…+a_(n-1)a_n is equal to (A) n(a_1-a_n) (B) (n-1)(a_1-a_n) (C) na_1a_n (D) (n-1)a_1a_n

Let {A_n} be a unique sequence of positive integers satisfying the following properties: A_1 = 1, A_2 = 2, A_4 = 12, and A_(n+1) . A_(n-1) = A_n^2 pm 1 for n = 2,3,4… then , A_7 is

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Write the first five terms of each of the following sequences whose n ...

    Text Solution

    |

  2. Let a sequence be defined by a1=1,a2=1 and an=a(n-1)+a(n-2) for al...

    Text Solution

    |

  3. Find the next five terms of each of the following sequences given by: ...

    Text Solution

    |

  4. Find the indicated terms in each of the following sequences whose nth ...

    Text Solution

    |

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

    Text Solution

    |

  6. Which term of the A.P. 3,10,17, ... will be 84 more than its 13th t...

    Text Solution

    |

  7. Let sequence by defined by a1=3,an=3a(n-1)+1 for all n >1

    Text Solution

    |

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

    Text Solution

    |

  9. Which term of the arithmetic progression 8,14,20,26, ... will be 72 ...

    Text Solution

    |

  10. Find the term of the arithmetic progression 9,12,15,18, ... which is 3...

    Text Solution

    |

  11. If the n^(t h) term of an A.P. is (2n+1), find the sum of first n term...

    Text Solution

    |

  12. Two A.P’s have the same common difference. The difference between thei...

    Text Solution

    |

  13. Find the 8th term from the end of the A.P. 7,10,13, ..., 184

    Text Solution

    |

  14. Find the sum of all three digit natural numbers, which are divisible b...

    Text Solution

    |

  15. If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M. between aa n db . Then, fin...

    Text Solution

    |

  16. Find the number of integers between 50 and 500 which are divisible by ...

    Text Solution

    |

  17. 150 workers were engaged to finish a piece of work in a certain number...

    Text Solution

    |

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

    Text Solution

    |

  19. Along a road lie an odd number of stones placed at intervals of 10 met...

    Text Solution

    |

  20. Divide 32 into four parts which are in A.P. such that the product of ...

    Text Solution

    |