geometric_sequences_and_sums
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| geometric_sequences_and_sums [2021/10/22 14:24] – [with Infinite Series (n이 무한대일 때)] hkimscil | geometric_sequences_and_sums [2021/10/22 14:25] (current) – [with Infinite Series (n이 무한대일 때)] hkimscil | ||
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| & & \text{when } \\ | & & \text{when } \\ | ||
| & & n -> \infty, |r| < 1, r \ne 0 \\ | & & n -> \infty, |r| < 1, r \ne 0 \\ | ||
| - | r^{n} & = & | + | & & r^{n} = 0 \\ |
| - | \sum_{n=0}^{\infty}(ar^n) & = & a \cdot \left(\frac{1}{1-r}\right) | + | \therefore \; \; \sum_{n=0}^{\infty}(ar^n) & = & a \cdot \left(\frac{1}{1-r}\right) |
| \end{eqnarray*} | \end{eqnarray*} | ||
geometric_sequences_and_sums.1634880247.txt.gz · Last modified: 2021/10/22 14:24 by hkimscil