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pishuonlain [190]
3 years ago
9

I need help please............

Mathematics
1 answer:
Anettt [7]3 years ago
5 0
A) x=4
B) x= -3
C) x= -1/6
D) x=24
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The width of a rectangle is 38 centimeters. the perimeter is at least 692 centimeters. write an inequality that represents all p
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Width of the reactangle = 38 cm

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Let the length of the rectangle be x cm

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Find the sum of the first four terms of the geometric sequence shown below. 4​, 4/ 3​, 4/9​, ...
user100 [1]
It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

S_4=4+\dfrac43+\dfrac49+\dfrac4{27}

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.

Multiply the sum by 1/3 and you have

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Now subtracting this from S_4 gives

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That is, all the matching terms will cancel. Now solving for S_4, you
have

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S_4=6\left(1-\dfrac1{81}\right)
S_4=\dfrac{480}{81}=\dfrac{160}{27}
3 0
3 years ago
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