Deriving/Applying the Geometric Series Formula
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Find the sum
S
4
S_4
S
4
if the first term is
a
1
=
8
a_1=8
a
1
=
8
and the last term is
a
4
=
1
a_4=1
a
4
=
1
with
r
=
1
2
r=\frac{1}{2}
r
=
2
1
.
QUESTION
Find
S
5
S_5
S
5
for
a
1
=
5
a_1=5
a
1
=
5
,
r
=
1
2
r= \frac{1}{2}
r
=
2
1
, and
n
=
5
n=5
n
=
5
.
QUESTION
Find
S
5
S_5
S
5
for a geometric series with
a
1
=
1
2
a_1=\frac{1}{2}
a
1
=
2
1
and
r
=
4
r=4
r
=
4
.
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ANSWER
341
2
\frac{341}{2}
2
341
. Apply
S
5
=
1
2
1
−
4
5
1
−
4
S_5=\frac{1}{2}\frac{1-4^5}{1-4}
S
5
=
2
1
1
−
4
1
−
4
5
with large ratio.
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