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    jonlie's Avatar
    jonlie Posts: 2, Reputation: 1
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    #1

    Feb 25, 2012, 10:11 PM
    rule for generating a sequence
    write the equation that describes the 3,6,12,21?
    Kahani Punjab's Avatar
    Kahani Punjab Posts: 510, Reputation: 203
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    #2

    Feb 25, 2012, 10:12 PM
    Johlie,

    Welcome to this great site, first!
    It must have been 3, 6, 12, 24, I presume. Please check if it is really so as you claim or write here. If it is - 3, 6, 12, 24 it is simply doubling of the previous number. Is not it?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Feb 27, 2012, 10:44 AM
    Hint: If you consider the difference between each of the terms in 3,6,12,21 you should see a simple pattern.
    Kahani Punjab's Avatar
    Kahani Punjab Posts: 510, Reputation: 203
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    #4

    Feb 28, 2012, 08:05 AM
    Yeah, ebaines has hit the nail on the head!

    3,6,12 and 21...
    6-3 = 3, 12-6 = 6 and 21-12 = 9
    We find that the differences are in AP i.e. Arithmetic Progression. So the next difference should be 12, (increase by 3, as before), and so the next number/item/member will be 21+12=33.
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