5. Multiplying Decimals
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Next Three Terms: a_5=0.0015, a_6=0.00015, and a_7=0.000015
Describe the Pattern: See solution.
Notice that each term in the sequence is the previous term divided by 10.
| a_1 | a_2 | a_3 | a_4 | ... | a_n |
|---|---|---|---|---|---|
| 15 | 1.5 | 0.15 | 0.015 | ... | — |
| — | 15÷ 10 | 1.5÷ 10 | 0.15÷ 10 | ... | a_(n-1) ÷ 10 |
We can use the fourth term a_4= 0.015 to find the next three terms. Let's do it!
| a_n=a_(n-1)* 0.6 | ||
|---|---|---|
| a_5= 0.015Ă· 10 | a_6= 0.0015Ă· 10 | a_7= 0.00015Ă· 10 |
| a_5= 0.0015 | a_6= 0.00015 | a_7=0.000015 |