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State whether the following sequence is arithmetic, geometric, or neither.
0, 1, 4, 9, 16, 25, 36, .... (Points : 1)

  • math -

    Arithmetic sequence:
    the difference between consecutive terms is constant.
    Example:
    1,3,5,7,9
    difference:
    2,2,2,2

    Geometric sequence:
    the ratio between consecutive terms is constant.
    Example:
    1,3,9,27,81,243
    ratio:
    3,3,3,3,3

    For the given example,
    0,1,4,9,16,25,36...
    Difference:
    1,3,5,7,9,11...
    ratio
    *,4, 9/4, 16/9, 25/16, 36/25 ...

    So is the sequence arithmetic, geometric, or neither?

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