Topic
Q:
Expenses for a company for year 1 are \( \$ 50,000 \). Every year thereafter, expenses increase by \( \$ 1000 \) plus \( 3 \% \) of the cost of the prior year. Let \( a_{1} \) represent the
original cost for year 1 ; that is, \( a_{1}=50,000 \).
Use a recursive formula to find the cost \( a_{n} \) in terms of \( a_{n-1} \) for each subsequent year, \( n \geq 2 \).
Q:
solve
\( 16^{1 / 4} \)
Q:
12. Extre factores y reduce las siguientes expresiones.
\( \begin{array}{ll}\text { a. } 7 \sqrt[3]{81}+5 \sqrt[3]{24}-2 \sqrt[3]{375} & \text { C. } 4 \sqrt{27}-7 \sqrt{12}-2 \sqrt{75} \\ \text { b. } 2 \sqrt{24}-5 \sqrt{54}+12 \sqrt{600} & \text { d. } \sqrt[3]{3}+\sqrt[3]{16}-2 \sqrt[3]{128}+3 \sqrt[3]{24}\end{array} \)
Q:
Opera \( y \) simplifica al máximo.
\( \begin{array}{ll}\frac{\sqrt[3]{16} \cdot \sqrt{2 \sqrt{2}}}{(\sqrt[8]{8})^{5}} & \text { b. } \sqrt{\frac{63}{4}}-\frac{5}{2} \sqrt{\frac{28}{25}}+\frac{1}{3} \sqrt{112}\end{array} \)
Q:
The first term in the sequence \( 5,7,-7, \ldots \) is 5. Each even-numbered term is 2 more
than the previous term and each odd-numbered term, after the first, is \( (-1) \) times the
previous term. For example, the second term is \( 5+2 \) and the third term is \( (-1) \times 7 \).
What is the \( 255^{\text {th }} \) term of the sequence?
Q:
solve
\( \frac{4-\sqrt{12}}{2} \)
Q:
Find the \( n^{\text {th }} \) term \( a_{n} \) of a sequence whose first four terms are given.
\[ \frac{1 \cdot 2 \cdot 3}{2}, \frac{1 \cdot 2 \cdot 3 \cdot 4}{4}, \frac{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5}{6}, \frac{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6}{8}, \ldots \]
4
Q:
solve
\( \sqrt{\frac{11}{81}} \)
Q:
Consider the sequence: \( \frac{2}{3} ; \frac{1}{3} ; \frac{1}{6} \ldots \ldots \)
3.1 Find the next 3 terms
3.2 Determine the general term
3.3 Determine \( T_{10} \)
Q:
Which of the following sets of ordered pairs are functions
a. \( (1,2),(2,3),(3,4),(4,5) \)
b. \( (4,3),(2,2),(-3,4),(-3,-3) \)
c. \( (1,2),(2,3),(1,3),(4,5) \)
d. \( (1,-1),(1,-6),(4,2),(2,-3) \)
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