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    athomedad's Avatar
    athomedad Posts: 1, Reputation: 1
    New Member

    Mar 4, 2008, 07:24 PM
    how do you write the equation for this sequence 10, 12, 16, 22, 30
    Hi, How do you write an equation for this sequence whose difference increases by two each time?
    10, 12, 16, 22, 30
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member

    Mar 5, 2008, 07:03 AM
    You can set up a system of equations using what is known as finite differences.

    You have the numbers 10,12,16,22,30

    If you subtract each consecutive entry you get 2,4,6,8

    Subtract those and we get it down to 2,2,2.

    So, we can build a quadratic that will give your entries.

    Using the top row and

    Enter x=1 and we get a+b+c=10

    Enter x=2 and get 4a+2b+c=12

    Enter x=3 and get 9a+3b+c=16

    Now you have a system of equations to solve for a,b,c

    Those will be the coefficients of your quadratic. I will let you finish.

    Let me know what you get.

    After you have the equation you should be able to enter x=1 and get 10, x=4 and get 22 and so forth.
    jojokittty888's Avatar
    jojokittty888 Posts: 1, Reputation: 1
    New Member

    Dec 6, 2010, 10:34 AM
    2n+8 when used as a function so..
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member

    Dec 6, 2010, 11:16 AM
    Quote Originally Posted by jojokittty888 View Post
    2n+8 when used as a function so..
    No, this might work for the first and second terms, but doesn't work for the other terms onwards. This is a sequence which requires a quadratic function like galactus showed.

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