| a1 | ||
S(1 − q) = a1, S = | ||
| 1 − q |
| a1(1−qn) | ||
Skąd bierze się więc | dla |q|≥1? | |
| 1 − q |
| q−1 | |
∑i=1n a1*qn−1=a1(qn−1) | |
| q |
| a1(qn−1)*q | ||
∑i=1n a1*qn−1= | ||
| q−1 |
| a1*(−1)*(1−qn)*q | ||
∑i=1n a1*qn−1= | ||
| −(1−q) |
| a1*(1−qn)*q | ||
∑i=1n a1*qn−1= | ||
| (1−q) |
| a1(qn−1) | ||
∑a1qn−1= | ||
| q−1 |
| a1(1−qn) | ||
∑a1qn−1= | ||
| 1−q |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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