Your friend has improved in his math class. On his first test he scored 50 points, and then he scored 53, 56, 59, and 62 points on his next 4 tests. His tests continued to improve following this pattern. If he took 15 tests, how many points did he score on the last test?
So you have an arithmetic sequence with
a = 50 and d = 3
You want term(15)
= a + 14d = 50 + 14(3) = 92
To find out how many points your friend scored on the last test, we need to understand the pattern in which his scores are improving.
From the given information, we can observe that your friend's scores are increasing by 3 points for each subsequent test. For example, he scored 50 on the first test, 53 on the second test, 56 on the third test, and so on.
To determine the score on the last test, we can use this pattern to calculate the increment: 53 - 50 = 3, 56 - 53 = 3, 59 - 56 = 3, and 62 - 59 = 3.
Since your friend's scores increase by 3 points for each test, we can add 3 to the previous test score for each subsequent test.
So if your friend took 15 tests, his score on the last test would be 62 + (3 * (15 - 5)).
Let's calculate it:
15 - 5 = 10
3 * 10 = 30
62 + 30 = 92
Therefore, your friend scored 92 points on the last test.