A production supervisor is tracking the daily output of a newly calibrated machine. On the first day, the machine produces 3 parts. The supervisor plans to increase the machine's output by exactly 6 parts each day. To report the projected output for the 15th day, the supervisor needs to recall the general term formula for an arithmetic sequence. Which of the following setups correctly substitutes the given values into the formula to find the 15th term?

A corporate training coordinator is scheduling a series of workshops. For the first session, they enroll 3 participants. They plan to increase the enrollment by 6 participants for each subsequent session. Following the arithmetic sequence example where the first term is 3 and the common difference is 6, the total number of participants enrolled for the 15th session will be ____.

A customer success manager is analyzing the growth of a new subscription service. The service began with 3 active subscriptions in its first month and has consistently added 6 new subscriptions each month. Based on the worked example that calculated the total for the 15th month, match each variable from the arithmetic sequence formula $a_n = a_1 + (n - 1)d$ to its corresponding value or role in this scenario.

A project manager is tracking the growth of a client's social media following. The account started with 3 followers and grows by 6 followers every day. Following the method used in the arithmetic sequence example, arrange the following steps in the correct order to find the number of followers on the 15th day.

A facilities manager is tracking the installation of ${}3$ security cameras on Day 1, with an increase of ${}6$ cameras every day thereafter. True or False: According to the general term formula $a_n = a_1 + (n - 1)d$ as applied in the example to find the 15th day's total, the common difference of ${}6$ must be multiplied by ${}14$ before adding the first term.

Projected Daily Pallet Deliveries

Forecasting Daily Shipping Container Volumes