A geometric sequence is defined by the property that the ratio of two consecutive terms is always constants like this:[tex] \frac{u_{n+1}}{u_n}=r [/tex] Taking any two consecutive terms from the sequence e get: [tex] \frac{-9}{-15} \neq \frac{-275}{-9} \text{ since } \frac{3}{5} \neq \frac{-275}{-9} [/tex]
