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{{ printedBook.courseTrack.name }} {{ printedBook.name }} A geometric series is the sum of the terms in a geometric sequence. $Sequence:Series: 1,2,4,8s=1+2+4+8=15 $ Each term in a geometric sequence can be written using the following rule. $a_{n}=a_{1}⋅r_{n−1}$ Here, $a_{1}$ is the first term of the sequence and $r$ is its common ratio. Using these symbols, a formula for the geometric series of a sequence with $n$ terms can be derived.

$S_{n}=1−ra_{1}(1−r_{n}) $