Question

Evaluate S5 for 600,300,150,… and select the correct answer below.

a)18,600
b) 581.25
c) 37.5
d) 1,162.5

Answer 1

To evaluate S5 for the given sequence 600, 300, 150, ..., we need to use the formula for the sum of a geometric series and find the sum of the first 5 terms. The correct answer is 581.25.

Step-by-step explanation:

To evaluate S5 for the given sequence 600, 300, 150, ... we need to find the sum of the first 5 terms. The sequence is a geometric sequence with a common ratio of 0.5. To find the sum, we can use the formula for the sum of a geometric series: Sn = a(1 - r^n) / (1 - r), where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 600, r = 0.5, and n = 5. Plugging in these values into the formula, we get Sn = 600(1 - 0.5^5) / (1 - 0.5) = 600(1 - 0.03125) / 0.5 = 600(0.96875) / 0.5 = 581.25. Therefore, the correct answer is option b) 581.25.