Find the next two terms in this
sequence.
0.1, 0.02, 0.004, 0.0008, 0.00016,

0.000032 and 0.0000064

Step-by-step explanation:

Note there is a common ratio between consecutive term in the sequence, that is

0.02 ÷ 0.1 = 0.004 ÷ 0.02 = 0.0008 ÷ 0.004 = 0.00016 ÷ 0.0008 = 0.2

Thus to obtain a term in the sequence multiply the previous term by 0.2

The next 2 terms in the sequence are

0.00016 × 0.2 = 0.000032

0.000032 × 0.2 = 0.0000064