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

1 Answer
Nov 14, 2015

Notice that each the previous term divided by #5#. For example, #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 #3/5#. Then, divide by #5# three different times.

#3/5-:5# is the same thing as #3/5xx1/5#, which is #3/25#.
The term after that would be #3/25xx1/5=3/125#.
Next would be #3/625#.