Determine the value of x if… x+2, 3x+1, 7x-1,…
form a geometric sequence
please give detail
thankss
(3x+1)/(x+2)=(7x-1)/(3x+1)
(3x+1)^2=(7x-1)(x+2)
9x^2+6x+1=7x^2+13x-2
2x^2-7x+3=0
(2x-1)(x-3)=0
x=1/2 or 3
The series is 5/2, 5/2, 5/2.... or 5, 10, 20....
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Answers & Comments
(3x+1)/(x+2)=(7x-1)/(3x+1)
(3x+1)^2=(7x-1)(x+2)
9x^2+6x+1=7x^2+13x-2
2x^2-7x+3=0
(2x-1)(x-3)=0
x=1/2 or 3
The series is 5/2, 5/2, 5/2.... or 5, 10, 20....