2. Smallville has a population of 10,000 and is growing \( 14.7 \% \) each \( y \) a: Write an explicit equation b. What will the population be in 5 years?

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

Calcula las siguientes potencias: \( \begin{array}{ll}\text { a) } 3^{-4}=\frac{\square}{\square} & \text { b) }(3 / 4)^{-2}=\frac{\square}{\square}\end{array} \)

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.

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

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.