# Unusual sequence of fractions

Let's have the following sequence of fractions: $$\frac{156}{51}, \frac{756}{251}, \frac{3756}{1251}, ?$$ .

What fraction replaces the question mark?

$$\frac{18756}{6251}$$
the $$n$$-th fraction is given by $$\frac{30\cdot 5^n+6}{10\cdot 5^n+1}.$$