Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? $\frac{-1}{729},\frac{-1}{81},\frac{-1}{9},?$
Option 1: 1
Option 2: –1
Option 3: $\frac{-1}{3}$
Option 4: $\frac{1}{3}$
Correct Answer: –1
Solution : Given: $\frac{-1}{729},\frac{-1}{81},\frac{-1}{9},?$
Multiply the previous term by 9 to obtain the missing term. $\frac{-1}{729}×9=\frac{-1}{81};\frac{-1}{81}×9=\frac{-1}{9};\frac{-1}{9}×9=-1$
So, –1 is the missing term in the given series. Hence, the second option is correct.
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