Question

2 zadania ciąg geometryczny,najlepiej z wyjaśnieniem

Answer 1

Odpowiedź:

2.

q = - [tex]\frac{1}{2}[/tex]                  [tex]S_n = \frac{341}{162}[/tex]                      n = 10

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[tex]S_{10}[/tex] = a_1 *[tex]\frac{1 - ( -1/2)^{10}}{1 - ( -1/2)} = \frac{341}{162}[/tex]

[tex]a_1[/tex] * [tex]\frac{1 - 1/1024}{3/2} = \frac{341}{162}[/tex]

[tex]a_1[/tex] * [tex]\frac{1023/1024}{3/2} = \frac{341}{162}[/tex]

[tex]a_1 *\frac{1023}{1024} *\frac{2}{3} = \frac{341}{162}[/tex]

[tex]a_1*\frac{341}{512} = \frac{341}{162}[/tex]

[tex]a_1 = \frac{341}{162}*\frac{512}{341} = \frac{512}{162} = \frac{256}{81}[/tex]

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Szczegółowe wyjaśnienie: