Evaluate `sum_(k=1)^(11)(2+3^k)`

Explanation

To evaluate the sum \( \sum_{k=1}^{11} (2 + 3^k) \), we can break it down into two separate summations:

1. The sum of the constant term \(2\) over the range from \(k=1\) to \(k=11\).
2. The sum of the geometric series \(3^k\) from \(k=1\) to \(k=11\).

### Step 1: Calculate the sum of the constant term

The first part of the summation is:
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