Mam obliczyć n i Sn mając podane w ciągu geometrycznym:
a1= −√3
q= √6
an= − 108√2
Proszę o pomoc
| 108√2 | |
= √6n : √6
| |
| √3 |
an= a1*qn−1
| 1 | ||
−√3*(√6)n* | = −108√2
| |
| √6 |
| 108√2*√6 | ||
(√6)n= | ||
| √3 |
| 108*√2*√2*√3 | ||
(√6)n= | ||
| √3 |
| qn−1 | ||
Sn= a1* | ||
| q−1 |
| 63−1 | −√3*215*(√6+1) | |||
S6= −√3* | = | |||
| √6−1 | (√6−1)(√6+1) |
| −√3*215(√6+1) | ||
S6= | = −43√3(√6+1)= −43( 3√2+√3)
| |
| 6−1 |