Tell whether the sequence is arithmetic. Explain your reasoning. \( 12,6,0,-6,-12 \ldots \) The sequence is \( \checkmark \) arithmetic because the

The sequence is \( \checkmark \) arithmetic because the difference between consecutive terms is constant. In this case, subtracting each term from the next reveals a common difference of -6. For example, \( 6 - 12 = -6 \), \( 0 - 6 = -6 \), and so forth. This consistent difference indicates that it qualifies as an arithmetic sequence. Additionally, recognizing arithmetic sequences can be beneficial in various real-life scenarios, such as budgeting or planning events. For instance, if you're saving a fixed amount of money every month, the total savings over time forms an arithmetic sequence. This understanding allows for effective financial planning, making it easier to reach future goals.