1/8 1/8 Picture a quarter of a dollar. You have four of those in a dollar. If you cut one in half, how many of those in a dollar? Eight. (When you cut it in half, you've doubled the number of pieces--multiplied x 2.) So one of those is one out of eight: 1/8.
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The number six
1/2 (x+y)
The answer depends on the nature of the sequence: there is no single method which will work for sequences which are arithmetic , geometric, exponential, or recursively defined.