Question

Enter the common ratio for the geometric sequence below. 4,6,9,...

Answer 1

the common ratio for the geometric sequence 4,6,9,... is 3/2

Explanation

Formula of Ratio for the geometric sequence :

$\underline{\boxed{\sf{r = \frac{U_n}{U_{n-1}} }}}$

.

We Kown

• U1 = 4
• U2 = 6
• U3 = 9

.

Question

• r = ...?

.

Answer

$\sf{r = \frac{U_n}{U_{n-1}} }$

$\sf{r = \frac{6}{4} }$

$\sf{r = \frac{3}{2} }$

or :

$\sf{r = \frac{U_n}{U_{n-1}} }$

$\sf{r = \frac{9}{6} }$

$\sf{r = \frac{3}{2} }$

.

Hence, the common ratio for the geometric sequence 4,6,9,... is 3/2