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Lavinia Carroll

Feb 20, 2025

What is the 6th term of the geometric sequence where a1 = -4,096 and a4 = 64?A. -1B. 4C. 1D. -4?

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Mina Herzog

Feb 20, 2025

Let r be the common ratio of the geometric sequence. a₁ = -4096a₄ = 64-4096 × r³ = 64r³ = -64/4096r³ = -1/64r = -1/4a₆ = a₁ r⁵ a₆ = -4096 × (-1/4)⁵a₆ = 4…… The answer: B. 4... Show More
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Mina Herzog

Feb 20, 2025

a_4 = a_1 * r^(4 – 1)64 = -4096r^3-1/64 = r^3r = -1/4a_6 = a_4 * (-1/4)^(6 – 4)a_6 = 64 * 1/16 = 4... Show More
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