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Lunna [17]
2 years ago
11

Does the following infinite geometric series diverge or converge? Explain. 1/5+1/25+1/125+1/625

Mathematics
2 answers:
BaLLatris [955]2 years ago
5 0
The given data contains points which are 1/5, 1/25, 1/125, and 1/625. From these we are able to conclude that the given is a geometric sequence with r equal to 1/5 and the first term is equal to 1/5. The sum of these term can be computed as,
                          S = a1/(1 - r)
Solving,
                          S = ((1/5)/(1 - 1/5) = 1/4
Thus, the sequence is convergent because the sum is a finite number. 
Naddika [18.5K]2 years ago
4 0

The answer is <u>It converges; it has a sum </u>

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Answer:

a) <u><em>y = 9.187 * 1.09899^x</em></u>

b) <u><em>2647.2695</em></u>

Step-by-step explanation:

a) using calculator, (mine is ti84 plus ce), we use stat and edit. we plug in x and y. x will be in the L1 and y wil be in L2. Now, we go to stat, calc,  and we press ExpReg, short for exponential regression. we calculate and get <u><em>y = 9.187 * 1.09899^x</em></u>

you can round if you want. well, i guess you shouldn't, cuz it changes it dramatically

b) Now, we use <u><em>y = 9.187 * 1.09899^x </em></u> into the y= and we put it in whatever slot we want. Now, we press trace. we press 60 to find the y,because the number is always x. the number , y, we want is <u><em>2647.2695</em></u> recommendations.

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2 years ago
Convert 12080 gallons per month into liters per hour
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In this question , we have to convert 12080 gallons per month to liters per hour .

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So to convert 12080 gallons per month, we have to multiply 12080 by 3.78541 and divide the result by the product of 30 and 24. THat is

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aivan3 [116]
The solution to the problem is as follows:

<span>cos2A - cos4A = -2 sin(6A/2).sin(-2A/2) = +2 sin(3A).sinA
 
and
 
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Hence RHS = (cos(2A)-cos(4A))/ (sin(4A)- Sin(2A)) = sin 3A / cos 3A = tan 3A = LHS
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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