Find the Next Term 3 , 6 , 12 , 24 , 48 , 96 , 192

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by ${\displaystyle 2}$ gives the next term. In other words, ${\displaystyle a_n=a_1{r}^{n-1}}$.

Geometric Sequence: ${\displaystyle r=2}$

This is the form of a geometric sequence.

Substitute in the values of ${\displaystyle a_1=3}$ and ${\displaystyle r=2}$.

Substitute in the value of ${\displaystyle n}$ to find the ${\displaystyle n}$th term.

Subtract ${\displaystyle 1}$ from ${\displaystyle 8}$.

Raise ${\displaystyle 2}$ to the power of ${\displaystyle 7}$.