emilyhourigan77 emilyhourigan77

26-05-2021
Mathematics

contestada

how many terms in the geometric series
a1 = 4, r = 4, Sn = 5460

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Аноним Аноним

26-05-2021

Answer:

[tex]Sn = \frac{a( {r}^{n - 1}) }{r - 1} \\ 5460 = \frac{4( {4}^{n - 1} )}{3} \\ 4095 = {4}^{(n - 1)} \\ 4095 = \frac{4 {}^{n} }{4} \\ {4}^{n} = 16380 \\ {4}^{n} = {4}^{7} \\ n = 7 \: terms[/tex]

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