Algebra

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Name the constant differences of the sequence 20, 21, 26, 35, 48...

What does "constant differences" mean?

Thank you so much! :)

  • Algebra -

    suppose you subtract the second - first = 1
    third - second = 5
    fourth - third = 9
    fifth - fourth = 13

    to get the "first differences" of 1,5,9,13

    now suppose we repeat the same procedure

    5-1 = 4
    9-5 = 4
    13-9 = 4

    notice we now have "constant differences" but we had to do it twice.

    general concept:
    if the first differences are constant, then the data came from a first degree relation
    if the second differences are constant, then the data came from a second degree, or quadratic relation
    if the third ....

  • Algebra -

    This site may help.

    http://www.icoachmath.com/SiteMap/ConstantFunction.html

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