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Aleks04 [339]
4 years ago
11

Find the first term in the pattern with the formula: 40 • 6n – 1.

Mathematics
2 answers:
Ratling [72]4 years ago
8 0
40* 6(1)-1
40* 6-1
40*5
200
Katyanochek1 [597]4 years ago
7 0

Answer: The answer is 40.

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Step-by-step answer:

The base of the exponential function is 1.29 for 7 days, as in

f(x) = 86*(1.29)^x

The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely

f(x) = 86*1.29^(x/7)

Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we simplify by putting b=1.29, a=7 to get

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x      since 1.29^(1/7) evaluates to 1.037

Rounding 1.037 to 1.04 we get a (VERY) approximate function

f(x) = 86 * (1.04^x)

1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.

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Step by Step :
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