Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio simplest form

Question

45,15,5,…

Answer 1

15 / 45 = 1/3

5 / 15 = 1/3

Geometric

Answer 2

Check to see if the difference between terms or the multiplier between terms is constant. Here difference is 30 and 10, so not arithmetic. Multiplier is 1/3 from 45 to 15 and 1/3 from 15 to 5, so geometric.

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