Solve each proportion ; b/5= 8/16 ( those are fractions)
1 answer:
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Answer:
The sum of the first 9 terms in the geometric series is 127.75
Step-by-step explanation:
In the geometric series, there is a constant ratio between each two consecutive numbers
<u>Examples:</u>
5, 10, 20, 40, 80, ………………………. (×2)
5000, 1000, 200, 40, …………………………(÷5)
General term (nth term) of a Geometric series is
<em>a1</em> = <em>a</em>, <em>a2</em> = <em>ar</em>, <em>a3</em> = <em>ar</em>², <em>a4</em> = <em>ar</em>³, ..........
, where
<em>a </em>is the first term
r is the constant ratio between each two consecutive terms
The sum of the first <em>n</em> terms of a Geometric series is calculated by this rule
Let us solve the question
∵ The geometric series is 64, 32, 16, .......................
∴ <em>a </em>= 64
∴ <em>r </em>= 32 ÷ 64 = 0.5
→ We need to find the sum of the first 9 terms
∴ <em>n</em> = 9
→ Substitute these values on the formula of the sum above
∴
→ use the calculator to find the answer
∴ <em>S</em>9 = 127.75
∴ The sum of the first 9 terms in the geometric series is 127.75
Answer:
Each vehicle received of the total capacity of the storage tank
Step-by-step explanation:
we know that
To find out what part of the total capacity of the storage tank that each vehicle received, divide three fourths by five
so
therefore
Each vehicle received of the total capacity of the storage tank