To determine how many pages Lawrence will read on the 28th day, first we need to identify the pattern in the number of pages he reads each day.
From the information given:
- Day 1: 17 pages
- Day 2: 25 pages
- Day 3: 33 pages
Let's note the difference in the number of pages read each day:
- From Day 1 to Day 2: \(25 - 17 = 8\) pages
- From Day 2 to Day 3: \(33 - 25 = 8\) pages
It appears that Lawrence is increasing the number of pages he reads each day by 8 pages. This suggests that the number of pages read on the \(n\)-th day can be represented as:
\[ P(n) = 17 + (n - 1) \times 8 \]
where \(P(n)\) is the number of pages read on the \(n\)-th day.
To find out how many pages Lawrence will read on the 28th day, we can substitute \(n = 28\) into the formula:
\[ P(28) = 17 + (28 - 1) \times 8 \] \[ P(28) = 17 + 27 \times 8 \] \[ P(28) = 17 + 216 \] \[ P(28) = 233 \]
Thus, Lawrence will read 233 pages on the 28th day.