Question

Find the next term in the pattern.

81, 84, 27, 252, 9, 756

Answer 1

In the given pattern $81,84,27,252,9,756,$ the odd-numbered terms are multiplied by $\frac{1}{3}$, and the even-numbered terms are multiplied by $3.$

The required term is an odd-numbered term.
Hence, its previous odd-numbered term i.e. $9$ must be multiplied by $\frac{1}{3}$ to obtain the next term.
$\Rightarrow 9\times \frac{1}{3}=3$

$\therefore$ The pattern in $81,84,27,252,9,756,3$