Answer:
D. 504
Step-by-step explanation:
Let the number of days = x
Now, the number of students doubles each day for the two weeks with the initial number of students having measles = 8.
So, we have,
Days (x) Cases doubled Number of Students
1 8 8
2 8 × 2 16
3 16 × 2 32
4 32 × 2 64
So, we get the geometric series as 8, 16, 32, 64,...... for two weeks.
Then, the common ratio = = 2
Thus, Number of students =
i.e. Number of students =
i.e. Number of students =
i.e. Number of students = 8 × 63 = 504
Hence, the number of students having measles at the end of the 6th day are 504.