a sequence is defined by the recursive formula f(n + 1) = 1.5f(n). which sequence could be generated using…

a sequence is defined by the recursive formula f(n + 1) = 1.5f(n). which sequence could be generated using the formula?\n-12, -18, -27, ...\n-20, 30, -45, ...\n-18, -16.5, -15, ...\n-16, -17.5, -19, ...

a sequence is defined by the recursive formula f(n + 1) = 1.5f(n). which sequence could be generated using the formula?\n-12, -18, -27, ...\n-20, 30, -45, ...\n-18, -16.5, -15, ...\n-16, -17.5, -19, ...

Answer

Answer:

-12, -18, -27, ...

Explanation:

Step1: Comprobar la proporción

Para una secuencia definida por $f(n + 1)=1.5f(n)$, el factor de proporcionalidad entre términos consecutivos es 1.5. Para la secuencia -12, -18, -27, ... $\frac{-18}{-12}=1.5$ y $\frac{-27}{-18}=1.5$

Step2: Comprobar otras secuencias

Para la secuencia -20, 30, -45, ... $\frac{30}{-20}=-1.5$

Para la secuencia -18, -16.5, -15, ... $\frac{-16.5}{-18}\neq1.5$

Para la secuencia -16, -17.5, -19, ... $\frac{-17.5}{-16}\neq1.5$