If the first 4 terms of a geometric sequence are \( \{7,21,63,189\} \), then the formula for the \( n^{t h} \) term in the sequence is \[ \begin{array}{ll}\text { b.) } a_{n}=3 \cdot(n-1)^{7} \\ \text { b.) } a_{n}=3 \cdot 7^{n-1} \\ \text { c.) } a_{n}=7 \cdot 3^{n-1} \\ \text { d.) } a_{n}=7 \cdot(n-1)^{3}\end{array} \]

1. \( x^{2}-9 x+20 \)

27 Donat el vector \( \overrightarrow{\mathrm{u}}(-5, k) \), calcula \( k \) de manera que a) \( \overrightarrow{\mathrm{u}} \) sigui ortogonal a \( \vec{v}(4,-2) \). b) el mòdul de \( \overrightarrow{\mathrm{u}} \) sigui igual a \( \sqrt{34} \).

Read the following description of a relationship: Tori uses 12 tomatoes to make each bowl of salad. Let \( s \) represent the number of bowls of salad and \( t \) represent the total number of tomatoes she uses. Use the function \( t=12 s \) to find the value of \( t \) when \( s=7 \).

3. \( x^{2}+9 x+14 \)

[2. Graphs and Functions What is the slope of the line with the equation \( -3 x+4 y=8 \) ? Hint: Use the formula sheet to determine the formula(s) needed to solve the problem. A -3