Question

Classify the sequence {an) = {10,4,8/5,16/25,...} as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, chose not enough information.
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A. arithmetic
B. geometric
C. neither
D. not enough information

Answer 1

the answer is arithmetic

Answer 2

It is a geometric series.

The ratio of the second to first term is= $\frac{4}{10}=\frac{2}{5}$

The ratio of the third to second term is= $\frac{\left(\frac{8}{5}\right)}{4}=\frac{2}{5}$

The ratio of the fourth to third term is=$\frac{\left(\frac{16}{25}\right)}{\left(\frac{8}{5}\right)}=\frac{2}{5}$

Since the common ratios are same so it is a geometric series.

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