This are also referred to as exponential sequence. The common ratio if r > 0 is 2
Geometric sequence
This are also referred to as exponential sequence. Given the following sequence
(7-2x),9,(5x+17)
If they are in geometric progression, hence;
9/7-2x = 5x+17/9
Cross multiply
7-2x(5x+17) = 9(9)
Expand
35x+119-10x²-34x = 81
-10x²+x+119-81=0
10x²-x-38 = 0
Factorize
10x²-20x +19x-38 = 0
10x(x-2)+19(x-2)= 0
x - 2 = 0
x = 2
Hence the common ratio if r > 0 is 2
Learn more on geometric sequence here: https://brainly.com/question/1509142
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