Let's analyze the given series:

$\sum_{i=0}^{4} (2i - 1 - 1)$

Step 1: Understanding the series expression

The series is summing up the expression $2i - 1 - 1$ from $i = 0$ to $i = 4$. To simplify:

$2i - 1 - 1 = 2i - 2$

So the series becomes:

$\sum_{i=0}^{4} (2i - 2)$

Step 2: Identifying the number of terms

The summation goes from $i = 0$ to $i = 4$, inclusive. To determine the number of terms in the series, we count the values of $i$.

The values of $i$ are: $i = 0, 1, 2, 3, 4$

Thus, there are 5 terms in the series.

Answer:

The number of terms in the series is 5.

Would you like to compute the sum of this series or explore more properties of it?

Related Questions:

1. How do you calculate the sum of this series?
2. What happens if we extend the upper limit of the summation to a higher number?
3. How do you write this series in closed form?
4. What is the general form of an arithmetic series?
5. How would you find the sum of the first $n$ terms for a different series?

Tip: In any summation of the form $\sum_{i=m}^{n}$, the number of terms is simply $n - m + 1$, counting the inclusive range!