The given geometric series is:
Take note that if the geometric series has a form:
its finite sum is:
Rewriting the given sigma notation in exact form as above, it becomes:
From here, it can be seen that the values of the first term and the common ratio are a1=1 and r=4.
Plugging in the values of a1 and r to the formula of Sn, the sum of the first seven terms of the geometric sequence is:
Therefore, .
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