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03-06-2021
Mathematics

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Given a geometric sequence that begins with the terms 2,3,... What is the sum of the first 12 terms?

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goyangi goyangi

03-06-2021

The sum of the first 12 terms ≈ 515

Explanation:

a (first term) = 2
r (ratio) = second term/first term = 3/2

S12 (sum of first 12 terms)
= [a(r^n - 1)]/(r - 1)
= [2((3/2)^12 - 1)]/(3/2 - 1)
≈ [2(128.75)]/(1/2)
≈ 257.5/0.5
≈ 515

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