Evaluate s5 for 600 + 300 + 150 + … what's the answer?

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

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:

  , 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

∵ a = 600 , r = 0.5 and n = 5

Substitute all of these values in the rule above to find

∴

The answer is 1,162.5

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: