Geometric series - Sequences and Series

Geometric series

A geometric series is the sum of a finite number of terms in a geometric sequence. Just like the arithmetic series, we also have geometric series formulas to help us with that.


The sum of n \, n\, terms of a geometric series:

Sn=t1(rn1)r1=rtnt1r1\large S_n = \frac{t_1(r^{n}-1)} {r-1} = \frac{r \cdot t_{n} - t_{1}} {r-1}
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Geometric series

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