Geometric Sequences & Series (Leaving Cert Mathematics): Flashcards

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Geometric Series
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What is a geometric series?

The sum of a geometric sequence

General form of a geometric series

a+ar+ar2+ar3+ar4+...a+ar+ar^2+ar^3+ar^4+...

Formula for SnS_n in geometric series

Sn=a(1rn)1rS_n=\frac{a(1-r^n)}{1-r}

In geometric series formula, what is aa?

First term

In geometric series formula, what is rr?

Common ratio

In geometric series formula, what is nn?

Number of terms

Common ratio for sequence 64, 32, 16, ...

12\frac{1}{2}

S10S_{10} for sequence 64, 32, 16, ...

10238\frac{1023}{8}

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