Final answer:
To expand the given geometric series, use the formula for the nth term of a geometric series.
Step-by-step explanation:
The given series is e^5 * Σ3(2)^i-1 where i=1.
To expand this series, we need to find the formula for the nth term of the series.
For a geometric series, the formula for the nth term is a*r^(n-1), where a is the first term and r is the common ratio.
In this series, the first term is 3(2)^(1-1) = 3, and the common ratio is 2.
Therefore, the nth term of the series is 3(2)^(n-1).