Home
Class 12
MATHS
A sequence of positive (a (1), a (2)…a (...

A sequence of positive `(a _(1), a _(2)…a _(n))` is called good if `a _(1) =a_(1) +a _(2) + …+ a _(i-1)` for all` 2 le I le n.` What is the maximum possible value of n for a good sequence such that `a _(n) = 9216?`

Text Solution

Verified by Experts

The correct Answer is:
12
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -1 PART -II RMO|3 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

Similar Questions

Explore conceptually related problems

Let sequence by defined by a_(1)=3,a_(n)=3a_(n-1)+1 for all n>1

Let a sequence be defined by a_(1)=1,a_(2)=1 and a_(n)=a_(n-1)+a_(n-2) for all n>2, Find (a_(n+1))/(a_(n)) for n=1,2,3,4

The sequence a_(1),a_(2),a_(3),....... satisfies a_(1)=1,a_(2)=2 and a_(n+2)=(2)/(a)(n+1),n=1,2,3,

A squence of positive terms A_(1),A_(2),A_(3),"....,"A_(n) satisfirs the relation A_(n+1)=(3(1+A_(n)))/((3+A_(n))) . Least integeral value of A_(1) for which the sequence is decreasing can be

For any n positive numbers a_(1),a_(2),…,a_(n) such that sum_(i=1)^(n) a_(i)=alpha , the least value of sum_(i=1)^(n) a_(i)^(-1) , is

Let the sequence be defined as follow: a_(1)=3 a_(n)=3a_(n-1)+2, for all n gt 1 . Find the first five terms of the sequence.

For a sequence, if a_(1)=2 and (a_(n+1))/(a_(n))=(1)/(3). Then, sum_(r=1)^(20) a_(r) is

Let {a_(n)}(n>=1) be a sequence such that a_(1)=1, and 3a_(n+1)-3a_(n)=1 for all n>=1 Then find the value of a_(2002).

RESONANCE-SEQUENCE & SERIES -EXERCISE -2 (PART -I PREVIOUS ASKED QUESTION FOR PRE RMO)
  1. Let S (n ) = sum ( k =0) ^(n) (1)/( sqrt ( k +1) + sqrt k) What is th...

    Text Solution

    |

  2. Let m be the smallest odd positive iteger for which 1 + 2+ …..+ m is a...

    Text Solution

    |

  3. What is the the maximum possibe value of k for which 2013 can be writt...

    Text Solution

    |

  4. The first term of a sequence is 2014. Each succeeding term is the sum ...

    Text Solution

    |

  5. A sequence of positive (a (1), a (2)…a (n)) is called good if a (1) =a...

    Text Solution

    |

  6. A new sequence is obtained from the sequence of positive integers 1,2,...

    Text Solution

    |

  7. Let E(n) denote the sum of the even digits of n. For example, E (1243)...

    Text Solution

    |

  8. Consider the sequence 1,3,3,5,5,5,5,5,7,7,7,7,7,7,7,…… and evaluate it...

    Text Solution

    |

  9. Find the value of the expression ((3 ^(4) + 3 ^(2) +1) .(5 ^(4) + 5 ...

    Text Solution

    |

  10. Let S=1 + (1)/(sqrt2) + (1)/(sqrt3) + (1)/(sqrt99) + (1)/(sqrt100). Fi...

    Text Solution

    |

  11. For positive real numbers x and y, define their special mean to be ave...

    Text Solution

    |

  12. Let u,v,w be real numbers in geometric progression such that u gt v gt...

    Text Solution

    |

  13. Let the sum sum ( n =1) ^(g) (1)/(n ( n +1) ( n +2)) written in its lo...

    Text Solution

    |

  14. Suppose x is a positive real number such that {x}, [x] and x are in th...

    Text Solution

    |

  15. Five distinct 2-digit numbes are in a geometric progression. Find the ...

    Text Solution

    |

  16. Let N = 6 + 66+ 666+…+ 666…66, where there are hundred 6's in the last...

    Text Solution

    |

  17. What is the value of sum (1+j = odd 1 le | lt | le 10) (i +j) - sum(1 ...

    Text Solution

    |

  18. A book is published in three volumes, the pages being numbered from 1 ...

    Text Solution

    |