Answer:
The answer is 1,162.5 ⇒ answer A
Step-by-step explanation:
The series is 600 + 300 + 150 + ......
∵ 300 ÷ 600 = 0.5
∵ 150 ÷ 300 = 0.5
- Each number multiplied by 0.5 to get the next number, that means
we have constant ratio in this series between each tow consecutive
terms then the series is geometric
- The rule of the sum of the geometric series is:
[tex]S_{n}=\frac{a(1-r^{n})}{1-r}[/tex], where a is the first term in the series,
r is the constant ratio between each two consecutive terms and n is
the position of the term in the series
- We need to find [tex]S_{5}[/tex]
∵ a = 600 , r = 0.5 and n = 5
Substitute all of these values in the rule above to find [tex]S_{5}[/tex]
∴ [tex]S_{5}=\frac{600(1-0.5^{5})}{1-0.5}=1162.5[/tex]
The answer is 1,162.5
