Evaluate the expression without using a calculator. \[ \log _{4} 1 \]

5 State which consecutive whole numbers are either side of: \( \begin{array}{lll}\text { a } \sqrt{29} & \text { b } \sqrt{40} & \text { c } \\ \text { 7II }\end{array} \)

\( \frac{4}{1\times 2}+\frac{4}{2\times 3}+\frac{4}{3\times 4}+...+\frac{4}{23\times 24} \)

Determine whether the following statment is true or false. The graph of \( y=\frac{1}{7} g(x) \) is the graph of \( y=g(x) \) stretched by a factor of 7 . Choose the correct answer below. A. True, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate. Balse, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by \( \frac{1}{7}<1 \). C. True, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by 7 and \( 7>1 \). D. False, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate.

\( \frac{2}{5\times 8}+\frac{2}{8\times 11}+\frac{2}{11\times 14}+...+\frac{2}{29\times 32} \)

Consider the number pattern below: \[ \frac{-3}{5} ; \frac{-6}{9} ; \frac{-9}{13} ; \ldots . \ldots \] Determine the next two terms of the number pattern. Determine the \( n^{\text {th }} \) term of the number pattern.