Question: Let a , b , and c denote real numbers that are not successive terms of an arithmetic or a geometric sequence. a.) If a

Let a , b , and c denote real numbers that are not successive terms of an arithmetic or a geometric sequence.

a.) If a<b<c , find the number ( in terms of a,b, and c ) which when added to a, b, and c yeilds consecutive terms of a geometric sequence.

b.) Show that your formula works for two sets of three numbers.

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