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The series can be written in sigma notation as:
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The series can be represented using sigma notation by identifying the pattern in the numerators and denominators. The numerators start from 1 and increase by 3:
. The denominators are powers of 3:
.
We can express the nth term as follows:
- The numerator can be expressed as
(where to 8), and - The denominator as
.
Thus, the series in sigma notation is: