| √2 | ||
Oblicz sumę (2+√2)+(1+√2)+(1+ | )+.... Bardzo proszę o pomoc  | |
| 2 |
| a1 | ||
S = | ||
| 1 − q |
| a2 | |
=q, q∊(−1;1)− warunek zbieżności | |
| a1 |
| 1+√2 | (1+√2)(2−√2) | √2 | ||||
q= | = | = | ≈0,7⊂(−1;1) | |||
| 2+√2 | 2 | 2 |
| 2+√2 | 2+√2 | ||||||||||||||||||
Sn= | = | = | |||||||||||||||||
|
|
| 4+2√2 | (4+2√2)(2+√2 | 12+8√2 | |||
= | = | =6+4√2 | |||
| 2−√2 | 2 | 2 |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
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