When the same constant is added to the numbers 60, 100, and 150, a three-term geometric sequence arises. What is the constant ratio of the resulting sequence?
+118608 Please anon,
we like people to say they are not entirely happy when this is the case. It means we are not just teaching to an empty room.
BUT
It it not terribly helpful for you just to say that an answer is wrong.
You need to explain why you think this and what you think the answer should be. 
+23246 Let the constant be x:
By the definition of a geometric sequence, then: (60 + x)/(100 + x) = (100 + x)/(150+ x)
Cross multiplying: (60 + x)(150 + x) = (100 + x)(100 + x)
---> 9000 + 210x + x² = 10000 + 200x + x²
---> 10x = 1000
---> x = 100
+23246 Your instructions say to add the same number to 60, 100, and 150.
If I add 100 to each of these I get: 160, 200, and 250
The ratio of 160 to 200 is 160/200 = 0.80
The ratio of 200 to 250 is 200/250 = 0.80
They have the same ratio, thus, they form a geometric sequence.
What is the answer supposed to be?
+23246 The value of x, which was the number to be added to each of the three original numbers, is 100.
+128448 geno gave the correct answer for "x"....I think the answer your looking for is 5/4
Because....
160, 160(5/4)^1, 160(5/4)^2 =
160 , 200, 250
+118608 Please anon,
we like people to say they are not entirely happy when this is the case. It means we are not just teaching to an empty room.
BUT
It it not terribly helpful for you just to say that an answer is wrong.
You need to explain why you think this and what you think the answer should be.
