Elena read 84 pages on Monday, 93 pages on Tuesday, 102 pages on Wednesday, and 111 pages on Thursday. What kind of sequence is this?

1 answer

To determine the type of sequence represented by the number of pages Elena read each day, we can look at the differences between the pages read each day:

  • Pages read on Monday: 84
  • Pages read on Tuesday: 93
  • Pages read on Wednesday: 102
  • Pages read on Thursday: 111

Let's calculate the differences between consecutive terms:

  • Difference between Tuesday and Monday: \( 93 - 84 = 9 \)
  • Difference between Wednesday and Tuesday: \( 102 - 93 = 9 \)
  • Difference between Thursday and Wednesday: \( 111 - 102 = 9 \)

Since the differences are constant (all equal to 9), this means the sequence of pages read is an arithmetic sequence where the common difference is 9.