Tell whether each sequence is an arithmetic sequence. If it is a sequence, write an ex \( \begin{array}{ll}5,20,25, \ldots & \text { 2. }-3,-7,-11,-15,-19, \ldots\end{array} \)

To determine if each sequence is an arithmetic sequence, we need to check if the difference between consecutive terms is constant. 1. **Sequence: \(5, 20, 25, \ldots\)** - The difference between the second term and the first term: \(20 - 5 = 15\) - The difference between the third term and the second term: \(25 - 20 = 5\) Since the differences (15 and 5) are not the same, this sequence is **not an arithmetic sequence**. 2. **Sequence: \(-3, -7, -11, -15, -19, \ldots\)** - The difference between the second term and the first term: \(-7 - (-3) = -7 + 3 = -4\) - The difference between the third term and the second term: \(-11 - (-7) = -11 + 7 = -4\) - The difference between the fourth term and the third term: \(-15 - (-11) = -15 + 11 = -4\) - The difference between the fifth term and the fourth term: \(-19 - (-15) = -19 + 15 = -4\) Since the differences are all the same (-4), this sequence is an **arithmetic sequence** with a common difference of \(-4\). In summary: - The first sequence is **not an arithmetic sequence**. - The second sequence is an **arithmetic sequence** with a common difference of \(-4\).