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finite_sum_of_complex_numbers [2014/01/29 19:55] nikolaj |
finite_sum_of_complex_numbers [2014/01/29 19:55] nikolaj |
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==== Discussion ==== | ==== Discussion ==== | ||
=== Theorem === | === Theorem === | ||
- | ^ $\sum_{k=1}^n z^k=\frac{z^{n+1}-1}{z-1}$ ^ | + | ^ $\sum_{k=1}^n z^k=\frac{1}{z-1}(z^{n+1}-1)$ ^ |
==== Parents ==== | ==== Parents ==== | ||
=== Subset of === | === Subset of === | ||
[[Finite sum over a monoid]] | [[Finite sum over a monoid]] |