The sum of a geometric series containing five terms, a common ratio of 3, and a first term of 1/2 is 62.5.

The general form of a geometric series is the following:
wherein u_n is the first term and r the ratio. 
So, 

The sum of N first terms is given by the formula:

The number of terms is 5, so we get the formula:

The sum is rather 60.5 than 62.5

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