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anzhelika [568]
3 years ago
13

50 points!!! What is the sum of the first 8 terms of the geometric series?

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

<u>Sum of the 8 terms = 69.19</u>

Step-by-step explanation:

The sum of the geometric series is S

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

Where: a is the first term

            n is the number of terms

            r is the constant ratio.

For the giving geometric series: 120 - 80 + 160/3 - 320/9 + ...

a = 120 , n = 8

r = -80/120 = -2/3

∴ s = \frac{120(1-(\frac{-2}{3})^8) }{1-(\frac{-2}{3}) } = \frac{50440}{729}=69\frac{139}{729}=69.19

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3 years ago
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Black_prince [1.1K]
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