Asked by Lara
x, x+5, x+9 form a geometric sequence; find the value(s) of x and the numerical value of each term.
Answers
Answered by
Reiny
for a GS (x+5)/x = (x+9)/(x+5)
x^2 + 10x + 25 = x^2 + 9x
x = -25
so the terms are -25,-20,-16
Check: -20/-25 = .8
-16/-20 = .8
x^2 + 10x + 25 = x^2 + 9x
x = -25
so the terms are -25,-20,-16
Check: -20/-25 = .8
-16/-20 = .8
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