SOLUTION: Which one of the following is a geometric sequence? A. 2, –3, 9⁄2, −18⁄4 B. 0, 1, 2, 3, . . . C. 8, 4, 2, 1, 1⁄2, 1⁄4, . . . D. –7, 10, 23, 36,

Algebra ->  Sequences-and-series -> SOLUTION: Which one of the following is a geometric sequence? A. 2, –3, 9⁄2, −18⁄4 B. 0, 1, 2, 3, . . . C. 8, 4, 2, 1, 1⁄2, 1⁄4, . . . D. –7, 10, 23, 36,      Log On


   

Question 909853: Which one of the following is a geometric sequence?
A. 2,
–3, 9⁄2, −18⁄4
B. 0, 1, 2, 3, . . .
C. 8, 4, 2, 1, 1⁄2, 1⁄4, . . .
D.
–7, 10, 23, 36, . . .
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Which one of the following is a geometric sequence?
A. 2,–3, 9⁄2, −18⁄4
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Testing for "r":: -3/2 = -1.5 ; (9/2)/-3 = -3/2 ; (-18/4)/(9/2) = -2
Ans: inconsistent "r" ; so not geometric
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B. 0, 1, 2, 3, . . .
Testing for "r":: 1/0 = undefined
Ans: undefined "r":: so not geometric
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C. 8, 4, 2, 1, 1⁄2, 1⁄4, . . .
Testing shows r = 1/2 ; so it is geometric
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D. –7, 10, 23, 36, . . .
Testing:: 10/-7 ; 23/10 ; 36/23
Ans: inconsistent "r": so not geometric
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Cheers,
Stan H.
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