The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number
Here you are given a=10 and r=1/5 so your equation is:
s(n)=10(1-(1/5)^n)/(1-1/5) let's simplify this a bit:
s(n)=10(1-(1/5)^n)/(4/5)
s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:
s(5)=12.5(1-(1/5)^5)
s(5)=12.496
as an improper fraction:
(125/10)(3124/3125)
390500/31240
1775/142
To convert a fraction to simplest form we need to find the
greatest common factor. The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction.
Steps to solve <span>1) Set up the long division.
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<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
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3) Bring down 7, so that 57 is large enough to be divided by 8.
4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.
<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
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<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
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<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
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<span>
Express as a mixed fraction = </span>
Answer:
The answer is 210.
Have a great rest of your day!! <:)
Answer:
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Step-by-step explanation:
Ahmir is 25 and Brynn is 5
You add 5 to each so it becomes 30 and 10 so Ahmir is 3 times older than Brynn