sarah121322 sarah121322
  • 19-07-2016
  • Mathematics
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what is the sum of the first 5 terms if of a geometric series with a1=20 and r=1/4 the answer has to be an improper fraction

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apologiabiology
apologiabiology apologiabiology
  • 19-07-2016
the sum of the term in a geometric sequence
Sn=[tex] \frac{a1(1-r^n)}{1-r} [/tex]
where
there are n terms
r is common ratio
a1 is first term

Sn=[tex] \frac{20(1-(1/4)^5)}{1-(1/4)} [/tex]
Sn=[tex] \frac{20(1-(1/1024))}{3/4} [/tex]
Sn=[tex] \frac{20(1023/1024)}{3/4} [/tex]
Sn=[tex] \frac{1705}{64} [/tex]


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