raelynbeckett2023 raelynbeckett2023
  • 20-03-2022
  • Mathematics
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Express the series using sigma notation 5 -10 + 20 - 40 + 80 - ...

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sqdancefan
sqdancefan sqdancefan
  • 20-03-2022

Answer:

  [tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]

Step-by-step explanation:

The first term is 5 and the common ratio is -2. The general term for n starting at 1 can be written as ...

  an = a1·r^(n-1)

If we start n at 0, then we can eliminate the -1 from the exponent:

  [tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]

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