5. Multiplying Decimals
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Next Three Terms: a_5=0.0025 a_6=0.00125, and a_7=0.000625
Describe the Pattern: See solution.
Notice that each term in the sequence is the previous term divided by 2.
| a_1 | a_2 | a_3 | a_4 | ... | a_n |
|---|---|---|---|---|---|
| 0.04 | 0.02 | 0.01 | 0.005 | ... | — |
| — | 0.04÷ 2 | 0.02÷ 2 | 0.01÷ 2 | ... | a_(n-1) ÷ 2 |
We can use the fourth term a_4= 0.005 to find the next three terms. Let's do it!
| a_n=a_(n-1)* 0.6 | ||
|---|---|---|
| a_5= 0.005Ă· 2 | a_6= 0.0025Ă· 2 | a_7= 0.00125Ă· 2 |
| a_5= 0.0025 | a_6= 0.00125 | a_7=0.000625 |