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Elden [556K]
3 years ago
15

What is the sum of the first eight terms of the series?

Mathematics
2 answers:
Neporo4naja [7]3 years ago
5 0

Answer:

−1066.65

<em>This is the correct answer! I just took the test!! Good luck!!</em>

Ray Of Light [21]3 years ago
3 0
Observe that as the series progresses, the term decreases by 1/4. To show this, observe the first four terms of the series below.

-200 = (1/4)(-800)
-50 = (1/4)(-200)
-12.5 = (1/4)(-50)

Since we have a common ratio, r, of 1/4, we can use the properties of a geometric series to find the 8th term of the series.

Recall that to find the sum of the nth term of a geometric series, we have

S_{n} = a(\frac{1-r^{n}}{1-r})

where a is the first term of the series and r is the ratio.

So, for the first eight terms, we have

S_{8} = -800(\frac{1-(\frac{1}{4})^8}{1- \frac{1}{4}})
S_{8} \approx -1066.65

Therefore, the sum of the 8th series is approximately -1066.65. 

Answer: -1066.65
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The sum of an infinite geometric series is 1,280, while the first term of the series is 160. What is the common ratio of the ser
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7 0
3 years ago
What is the value of x?<br><br> Please help! Thanks!
leonid [27]

Answer:

x=75

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the side of the large triangle.

42           50

------ = ----------

42+63        50+x

42           50

------ = ----------

105          50+x

Using cross products

42(50+x) = 50*(105)

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3 years ago
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