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