# math

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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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