What is the next term in the pattern: #.1, 1/2, 1/4, 1/8, 1/16..#:?

1 Answer
Jul 28, 2016

Answer:

#1/32# seems most likely.

Explanation:

This appears to be the geometric series #1/2^n# starting at #n=0#.

Another way to write it would be:
#sum_(n=0)^i 1/2^n#

In your question, #i=4# and you are asking for the value at #i = 5#.

The answer is simply evaluated by taking:
#1/2^5 = 1/32#

Or alternatively by following the pattern from your already given series values:
#1/16 * 1/2 = 1/32#