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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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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

User Sergii Vorobei
by
7.4k points

1 Answer

4 votes
the sum of the term in a geometric sequence
Sn=
(a1(1-r^n))/(1-r)
where
there are n terms
r is common ratio
a1 is first term

Sn=
(20(1-(1/4)^5))/(1-(1/4))
Sn=
(20(1-(1/1024)))/(3/4)
Sn=
(20(1023/1024))/(3/4)
Sn=
(1705)/(64)


User Ahetman
by
7.9k points
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