Isabelle did 29 push-ups on Sunday, 24 push-ups on Monday, 19 push-ups on Tuesday, and 14 push-ups on Wednesday. What kind of sequence is this?

Answer 1

To determine the type of sequence formed by Isabelle's push-ups, let's examine the number of push-ups she did each day:

• Sunday: 29 push-ups
• Monday: 24 push-ups
• Tuesday: 19 push-ups
• Wednesday: 14 push-ups

Next, we can find the differences between the consecutive days:

1. From Sunday to Monday: \(24 - 29 = -5\)
2. From Monday to Tuesday: \(19 - 24 = -5\)
3. From Tuesday to Wednesday: \(14 - 19 = -5\)

The difference is consistently \(-5\) from one day to the next, meaning the number of push-ups decreases by 5 each day.

Since the difference is constant, this sequence is an arithmetic sequence where the first term is 29 and the common difference is \(-5\).