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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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Answer:

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Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of mg of sodium in 1 oz of chips.

y is the number of mg of sodium in a cup of soda.

Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.

This means that:

5x + y = 650

Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.

This means that:

x + 5y = 250

From the first equation:

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Replacing in the second

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x = \frac{3000}{25}

x = 120

y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50

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