Tisha read 54 pages on Wednesday, 61 pages on Thursday, 68 pages on Friday, and 75 pages on Saturday. What kind of sequence is this?

A) arithmetic
B) geometric
C) both
D) neither

1 answer

To determine the type of sequence formed by the number of pages Tisha read over the four days, we can analyze the differences between the consecutive terms.

  • Pages read on Wednesday: 54
  • Pages read on Thursday: 61
  • Pages read on Friday: 68
  • Pages read on Saturday: 75

Now, let's find the differences between consecutive terms:

  • From Wednesday to Thursday: \( 61 - 54 = 7 \)
  • From Thursday to Friday: \( 68 - 61 = 7 \)
  • From Friday to Saturday: \( 75 - 68 = 7 \)

The difference between each term is constant (7 pages). This indicates that this sequence is an arithmetic sequence.

In an arithmetic sequence, the difference between consecutive terms is constant. A geometric sequence, on the other hand, has a constant ratio between consecutive terms, which is not applicable here since the differences are constant and the ratios are not.

Therefore, the answer is: A) arithmetic.