SOLUTION: a,b,c,d are non-integer real numbers. a, b, c make an arithmetic progression (sequence) in that order and b,c,d make a geometric progression (sequence) in that order.a+d = 37 and b

Question 865216: a,b,c,d are non-integer real numbers. a, b, c make an arithmetic progression (sequence) in that order and b,c,d make a geometric progression (sequence) in that order.a+d = 37 and b+c-=36. Find d.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
b-a=c-b,
d/c=c/b,
a+d=37,
b+c=36
a = 99/4, b = 81/4, c = 63/4,
answer:
d = 49/4
BTW An integer solution is a = 12, b = 16, c = 20, d = 25
but we are told they are not integers.

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