Question

Sequences and SeriesGeometric Sequences - Part 1Independent Practice1. On the first day of a flu epidemic at your school, 20 students were absent. Each day forthe following week another 25% of the student population was absent.Part A: Determine how many students were absent for the first week of the flu epidemic.Complete the table below.DayStudentsAbsent120234.5Part B: Determine the explicit formula to determine the number of students absent if theflu epidemic continues for more than one week.Explicit Formula:

Answer 1

A. On the second day the number of absent students is 25% more than the first day. This is calculated as follows:

20 + 20*25% = 20 + 5 = 25

On the third day the number of absent students is 25% more than the second day. This is calculated as follows:

25 + 25*25% = 25 + 6 = 31

Similarly, on the fourth day, the number of absent students is:

31 + 31*25% = 31 + 8 = 39

On the fifth day:

39 + 39*25% = 39 + 10 = 49

Day | Student Absent

1 | 20

2 | 25

3 | 31

4 | 39

5 | 49

B. For the second day, the computation is:

20 + 20*25% = 20 + 20*0.25 = 20(1 + 0.25) = 25

For the third day, the computation is:

25 + 25*25% = 25 + 25*0.25 = 25(1+0.25)

Combining with the previous result:

25(1+0.25) =