Question

Find the missing term in the sequence $\underset{–}{},28,36,84,72,252,144.$

• A. $16$
• B. $17$
• C. $18$

Answer 1

The correct option is C $18$

Let's analyze the pattern of $\underset{–}{},28,36,84,72,252,144.$

The even-numbered terms are obtained by multiplying $3$ to the previous even-number term.
The odd-numbered terms are obtained by multiplying $2$ to the previous even-numbered term.

$\therefore$ The second odd-numbered term is $2$ times the first odd-numbered term.
Hence, the required term is $\frac{36}{2}=18.$

The pattern is $18,28,36,84,72,252,144.$