SOLUTION: Let a, b, and c represent real numbers that are not consecutive terms of an arithmetic sequence or of a geometric sequence. If a<b<c, determine a number that when added to a, b,

Algebra ->  Sequences-and-series -> SOLUTION: Let a, b, and c represent real numbers that are not consecutive terms of an arithmetic sequence or of a geometric sequence. If a<b<c, determine a number that when added to a, b,       Log On


   



Question 1007933: Let a, b, and c represent real numbers that are not consecutive terms of an arithmetic sequence or of a geometric sequence.
If a

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Here's one possibility...let a, b, and c be 2, 5, and 9.
Then add 7 to each and get
9, 12, 16, a geometric sequence where the common ratio is 4/3.
I solved this using this proportion:
%28x%2B5%29%2F%28x%2B2%29+=+%28x%2B9%29%2F%28x%2B5%29