sdennehy88 sdennehy88
  • 17-04-2022
  • Mathematics
contestada

find the sum of the first 7 terms of the following series 10,4,8/5

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Аноним Аноним
  • 17-04-2022

Answer:

16.6

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]

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