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1 + 2 + 4 + 8 + ⋯
ID: 1-plus-2-plus-4-plus-8-plus-⋯
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by
Wikipedia Bot
0
1970-01-01
The
series
\(
1
+
2
+
4
+
8
+ \ldots\) is
a
geometric series
where the
first
term \(
a
=
1
\) and the common
ratio
\(
r
=
2\)
. The sum of an infinite
geometric series
can be calculated using the
formula
: \[
S
= \frac{
a
}{
1
-
r
} \] This
formula
is valid only for \(|
r
| <
1\)
.
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