- Expand the finite geometric series to show few terms, including the last.
- Multiply by the common ratio,
**r**, on both sides. - Subtract the two series, in such a way that it helps to collapse only the first and last term.
- Then solve for Sn

S_{n} = a + ar^{1} + ar^{2} +……. + ar^{n – 1}

rS_{n} = r (a + ar^{1} + ar^{2} +……. + arn – 1)

S_{n} – rS_{n} = a – ar^{n}

**S _{n} = a (1 – r^{n})/1 – r**

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