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Question

Consider x, y, z are three consecutive terms of a G.P. such that x + y + z = -120 and y = 80. Find xyz. ?


A

256000

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B

800000

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C

512000

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D

1024000

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Solution

The correct option is C

512000


Let r be the common ratio of the G.P.

80r + 80 + 80r = -120

Solving we get r = -2 or - (12)

So x and z will be -160 and -40 or -40 and -160 respectively.

xyz = 512000


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