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slava [35]
3 years ago
15

Find the sum of the series {1875 + 750 + 300+... +3.072}

Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Answer:

Find the indicated sum for each geometric series.

{1875+750+300+⋯+3.072}

Answer: 3122.952

Step-by-step explanation:

{1875+750+300+⋯+3.072}

r=0.4 3.072=1875(0.4)n−1

0.0016384=(0.4)n−1

7=n−1→n=8

Sn=1875(1−(0.4)8)1−0.4=3122.952

I think is like this.

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Nice. We're not really told which is the right angle. We can tell from the squared distances:


AB^2=(1 - -5)^2 + (1-5)^2=6^2+4^2=52


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