How do you find the next three terms of the sequence 375,75,15,3,0.6,...?

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How do you find the next three terms of the sequence 375,75,15,3,0.6,...?

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Answer 1 · 2015-11-14T19:03:00

Notice that each the previous term divided by $5$ $5$ . For example, $375 \div 5 = 75, 3 \div 5 = \frac{3}{5} = 0.6$ $375-:5=75,3-:5=3/5=0.6$ .

To find the next three terms, start with the term where the sequence ended, which was $\frac{3}{5}$ $3/5$ . Then, divide by $5$ $5$ three different times.

$\frac{3}{5} \div 5$ $3/5-:5$ is the same thing as $\frac{3}{5} \times \frac{1}{5}$ $3/5xx1/5$ , which is $\frac{3}{25}$ $3/25$ .
The term after that would be $\frac{3}{25} \times \frac{1}{5} = \frac{3}{125}$ $3/25xx1/5=3/125$ .
Next would be $\frac{3}{625}$ $3/625$ .

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How do you find the next three terms of the sequence 375,75,15,3,0.6,...?

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