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 \(x+y\)?
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