Instructions

A sequence of numbers or alphabets following a specific pattern is given. Fill in the blanks with suitable entry from the options that follows the same pattern.

Question 131

$$1\frac{1}{7}, 3\frac{6}{7}, 9\frac{1}{7}, 17\frac{6}{7}, ...........$$

Solution
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$$1\ \frac{\ 1}{7}=\ \frac{\ 8}{7}=\ \frac{\ 2^3}{7}.$$

$$3\frac{\ 6}{7}=\ \frac{\ 27}{7}=\ \frac{\ 3^3}{7}.$$

$$9\frac{\ 1}{7}=\ \frac{\ 64}{7}=\ \frac{\ 4^3}{7}.$$

$$\ 17\frac{\ 6}{7}=\ \frac{\ 125}{7}=\ \frac{\ 5^3}{7}.$$

$$\ 30\frac{\ 6}{7}=\ \frac{\ 216}{7}=\ \frac{\ 6^3}{7}.$$

So, B is correct choice.

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