Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
$18,6,2, ?, \frac{2}{9}$
Option 1: $\frac{1}{3}$
Option 2: $\frac{1}{9}$
Option 3: $\frac{2}{3}$
Option 4: 1
Correct Answer: $\frac{2}{3}$
Solution :
Given:
$18,6,2, ?, \frac{2}{9}$
Multiply the previous term by $\frac{1}{3}$ to obtain the next term.
$18×\frac{1}{3}=6;6×\frac{1}{3}=2;2×\frac{1}{3}=\frac{2}{3};\frac{2}{3}×\frac{1}{3}=\frac{2}{9}$
So, $\frac{2}{3}$ is the missing term in the given series. Hence, the third option is correct.
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