Question

Determine a soma dos termos da P.G. (2, 22, ...., 210)​

Answer 1

Resposta:

a1 = 2

q = 22/2 = 11

an = 210

Sn = a1•(qⁿ-1)

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q - 1

an = a1 • qn - 1

210 = 2 • 11n - 1

11n - 1 = 210/2

11n - 1 = 105

11n = 105 + 1

11n = 106

n = 106/11

S106/11 = 2 • (11^106/11 - 1)

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11 - 1

S106/11 = 11^106/11 - 1

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