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Each successive term in the sequence \(2048, 512, 128, x, y, 2, \frac 12, \frac 18,...\) is obtained by multiplying the previous term by a constant. What is the value of  \(x+y\)?

 Jan 5, 2018
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512 / 2048  =  1/4

128 / 512  =  1/4

There the number that is used in the multiplying is 1/4.

128 x 1/4  =  32  =  x

32 x 1/4  =  8  =  y

Therefore,  x + y  =  32 + 8  =  40

 Jan 6, 2018

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