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dsp73
2 years ago
13

Find the sum of the first nine terms 100,−40,16

Mathematics
1 answer:
erica [24]2 years ago
8 0

9514 1404 393

Answer:

  71.447296

Step-by-step explanation:

The sequence is geometric with first term 100 and common ratio -0.4. Then the sum of n terms is ...

  Sn = 100(1 -(-0.4)^n)/(1 -(-0.4))

and the sum of 9 terms is ...

  S9 = 100(1 -(-0.4^9))/(1.4) = 71.447296

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