Question

lawrence is participating in a reading challenge and wants to read more each day than the day before. lawrence reads 17 pages on the 1st day, 25 pages on the2 nd day, 33 pages on the 3rd day, and so on. assume the pattern continues. how many pages will lawrence read on the 28th day?

Answer 1

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.