Question

x, x+5, x+9 form a geometric sequence; find the value(s) of x and the numerical value of each term.

Answer 1

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