Question

The $7^{\text{th}}$ term of the GP $2,-6,18,...$ is .

• A. 1458
• B. 1458
• C. 4374
• D. -4374

Answer 1

The correct option is A 1458

Given the GP$2,-6,18,...$
The first term and the common ratio of the GP are 2 and -3 respectively.
The $n^{\text{th}}$ term of a GP of first term $a$ and common ratio $r$ is given by
$a_n=a{r}^{n-1}.$
Thus, $a_7=a{r}^6=2(-3{)}^6=1458.$