SOLUTION: By adding the same constant to each of the numbers 16, 32, and 56, respectively, a geometric sequence is formed. What is the common ratio for this sequence?

Question 1191247: By adding the same constant to each of the numbers 16, 32, and 56, respectively, a geometric sequence is formed. What is the common ratio for this sequence?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
add x
(32+x)/(16+x)=(56+x)/(32+x), since the ratios are the same between adjacent numbers.
1024+64x+x^2=896+72x+x^2
128=8x
x=16
so the geometric sequence is 32, 48, 72, and the ratio is 1.5
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