Find the next number: 12,12,18,45,180,1170,?

Kaustubh Katdare

Kaustubh Katdare

@thebigk • Oct 25, 2024
The series is -

12,12,18,45,180,1170,?

What's the next number in above series?
Like 0 Replies 4

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  • bayazidahmed

    bayazidahmed

    @bayazidahmed-qg0JR9 • Aug 7, 2008

    12285

    Shall I give the solution or wait for some one else to rattle their brain and figure it out?
    0
  • Kaustubh Katdare

    Kaustubh Katdare

    @thebigk • Aug 7, 2008

    bayazidahmed
    12285

    Shall I give the solution or wait for some one else to rattle their brain and figure it out?
    😁 Wait!

    If no one replies in next 24 hours, post the explanation!
    0
  • bayazidahmed

    bayazidahmed

    @bayazidahmed-qg0JR9 • Aug 9, 2008

    I am too busy to post the explanation now. I'll leave it for another 24 hours.
    0
  • mahul

    mahul

    @mahul-ZxpiLA • Aug 9, 2008

    Yep, my answer matches with that of bayazidahmed, 12285.

    Here's the solution:

    Lets name the general term of the sequence T(n)

    The sequence (say R(n)) where R(n)=T(n+1)/T(n)
    is 1,1.5,2.5,4,6.5...

    The sequnece (say S(n)) where S(n)=R(n+1)-R(n)
    is 0.5,1,1.5,2.5....


    Thus S(n) can be thought of a fibonacci style sequence where S(n)=S(n-1)+S(n-2)
    Considering this relation, the next term in S(n) would be 1.5+2.5=4

    Considering this, the next trem in R(n) would be 6.5+4=10.5

    Thus the next term in T(n)=1170*10.5 = 12285
    0