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Fed [463]
3 years ago
9

What sequence is geometric and has 1/4 as it's fifth term and 1/2 as the common ratio?

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0
Use
a(i)=a1*r^(i-1)
we know that a(5)=a1*(1/2)^(5-1)=a1/16 = 1/4
solve for a1=(1/4)*16=4
=>
sequence: 
4,2,1,1/2,1/4,1/8,1/16,...
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I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?

Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, <em>x. </em>That year, that price of x increased by 20% more than it was before, or <em>120% times the original value</em>. Because of that, it's now $150.

We can equation this.

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x = 150/1.2

x = 125

The bike, I believe, cost $125 last year. Hope this helps!


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