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3 years ago

Arithmetic sequences ; basic algebra please help !

Mathematics

1 answer:

kramer3 years ago

6 0

Step-by-step explanation:

an arithmetic sequence means that every new term is the old term plus a constant number.

in our case that constant is +50.

and our starting value a0 = 250

so, the first 4 terms are

$250, $300, $350, $400

for the function formula we know

a0 = $250

a1 = a0 + 50 = 250 + 50 = $300

a2 = a1 + 50 = a0 + 50 + 50 = a0 + 2×50 = $350

a3 = a2 + 50 = a0 + 3×50 = $400

so, we see

an = a0 + n×50 = 250 + 50n

therefore,

f(n) = 250 + 50n

after 9 months saving we reached a9, meaning n=9.

f(9) = 250 + 50×9 = 250 + 450 = $700

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Read 2 more answers

You have drawn a simple random sample of 36 college students, asking each student how much rent they pay per month. You obtain a

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Answer:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

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And the 90% confidence interval would be between [566.80 and 579.20]

Step-by-step explanation:

Information given

$\bar X=573$ represent the sample mean

$\mu$ population mean (variable of interest)

s=22 represent the sample standard deviation

n=36 represent the sample size

Confidence interval

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The degrees of freedom are given by:

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And replacing we got:

$573-1.690\frac{22}{\sqrt{36}}=566.8033$

$573+1.690\frac{22}{\sqrt{36}}=579.1967$

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Answer:

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