Question

Jamal volunteers on a juneteenth event planning committee. He and other volunteers are selling juneteenth concert tickets. The ticket sales model an arithmetic sequence. Jamal sells 4 tickets on the first day and 7 tickets on the second day. How many tickets does jamal sell on days 5,6 and 7?

Answer 1

Certainly! To find the number of tickets Jamal sells on days 5, 6, and 7, we can first determine the common difference in the arithmetic sequence.

1. Identify the common difference (d):
- The first day: 4 tickets
- The second day: 7 tickets
- The common difference (d) = 7 - 4 = 3

2. Now that we have the common difference, we can use it to find the number of tickets for each day:
- Day 3: 7 + 3 = 10 tickets
- Day 4: 10 + 3 = 13 tickets
- Day 5: 13 + 3 = 16 tickets
- Day 6: 16 + 3 = 19 tickets
- Day 7: 19 + 3 = 22 tickets

Therefore, Jamal sells 16 tickets on day 5, 19 tickets on day 6, and 22 tickets on day 7.