Can you write the recursion formula for this series? $\displaystyle a_n=\frac{1}{2^n}$ :confused:

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- Jan 11th 2006, 12:16 PMmondo425recursion formula's
Can you write the recursion formula for this series? $\displaystyle a_n=\frac{1}{2^n}$ :confused:

- Jan 11th 2006, 12:47 PMCaptainBlack
You give:

$\displaystyle a_n=\frac{1}{2^n}$.

This as it stands is a sequence not a series, and

$\displaystyle a_{n+1}=\frac{1}{2^{n+1}}=\frac{1}{2^n.2}=\frac{1} {2}a_n $.

RonL