30. List the first five terms of the sequence defined recursively by \( a_{n}=\frac{a_{n-1}}{2}+2 ; a_{1}=68 \)

Write the following recurring decimal as a simplified commor fraction. \( \mathbf{0 , 7 4} \)

2. The value of \( \frac{(0.1)^{2}-(0.01)^{2}}{0.0001}+1 \) is

e) \( \sqrt[2]{\left(\frac{49}{9}\right)^{11} \cdot\left(\frac{49}{9}\right)^{-4}:\left(\frac{98}{18}\right)^{6}: \frac{196}{36}+[3-(0, \hat{6}-1)]^{2}}= \)

A population of a bacteria colony doubles every 3 hours. If there are currently 500 bacteria, how many will there be after 12 hours?

Simplify without a Calculator \[ \log _{5}\left(\frac{1}{625}\right)=\square \]