The series \( S_1 \) consists of five terms: \( \{a, b, \frac{a}{2}, d, a + 20\} \). To calculate the average value of the terms in \( S_1 \), we first need to find the sum of these terms.
The sum is:
\[
\text{Sum of terms} = a + b + \frac{a}{2} + d + (a + 20)
\]
Since the terms of the series are not explicitly defined, and no values are provided for \( a \), \( b \), and \( d \), it is not possible to calculate a precise average. Therefore, we conclude that the average is not an integer. Thus, the answer is: d. Average is not an integer.