Common Difference of an Arithmetic Sequence

Sum of the First n Terms of an Arithmetic Sequence

A warehouse supervisor tracks the stock of a specific component and notes that the inventory increases by exactly 15 units every week. Which mathematical term identifies a sequence, such as these weekly inventory levels, where the difference between any two consecutive terms ($a_n - a_{n-1}$) is always the same fixed amount?

Identifying Sequential Patterns in Annual Raises

A logistics coordinator at a distribution center observes that the number of packages processed increases by exactly ${}15$ units every hour during a peak shift. Because the difference between the number of packages processed in any two consecutive hours remains a constant fixed amount, this numerical pattern is classified as an ____ sequence.

A technician monitors the pressure in a tank every hour. If the sequence of pressure readings (represented as $a_1, a_2, a_3, \dots$) is an arithmetic sequence, it means that the difference between any term and the term that immediately follows it ($a_n - a_{n-1}$) must always be the same fixed value.

Defining Consistent Growth Patterns in Data