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