The sum of the first five terms of the geometric series 8, -24, 72..... is 488 ⇒ answer B
Step-by-step explanation:
In the geometric series:
- There is a constant ratio " r " between each two consecutive terms
- The nth term is , where a is the 1st term
- The sum of nth terms is
∵ 8 , -24 , 72 , ........ is a geometric series
∵
∵ = 8
∵ = -24
∴
∴ r = -3
∵ The sum of the nth terms is
- We need the sum of the first 5 terms, then n is 5
∵ n = 5 , a = 8 , r = -3
- Substitute these values in the rule of the sum
∴
∴
∴
∴
∴
The sum of the first five terms of the geometric series 8, -24, 72..... is 488
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Answer:
I think its the last one thats not showing if I'm wrong in sorry
Answer:
The additive property of equality.
Step-by-step explanation:
36 is added to both sides of the equation.
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