Question

Write the geometric series in expanded form e^5 i=1 3(2)^i-1

Answer 1

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).