What is the 6th term of the geometric sequence where a1 = -4,096 and a4 = 64?A. -1B. 4C. 1D. -4?
What is the 6th term of the geometric sequence where the first term ( a_1 = -4,096 ) and the fourth term ( a_4 = 64 )? A. -1 B. 4 C. 1 D. -4
2 Answers
Let r be the common ratio of the geometric sequence.
a₁ = -4096
a₄ = 64
-4096 × r³ = 64
r³ = -64/4096
r³ = -1/64
r = -1/4
a₆ = a₁ r⁵
a₆ = -4096 × (-1/4)⁵
a₆ = 4
…… The answer: B. 4
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