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

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Answer 1 · 2016-07-28T15:40:18

$1/32$ seems most likely.

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:
$1/16 * 1/2 = 1/32$

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