Take this Exam: Algebra (Year 9) | Zestly

Question 1

Given the geometric progression with first term $a_1$ and common ratio $r$. Which of the following statements are true about the sum of the first $n$ terms ($S_n$)?

Accepted Answer

If $r 
eq 1$, the sum is given by $S_n = \frac{a_1(1-r^n)}{1-r}$.

Question 2

Consider the inequality $x^2 - 5x + 6 > 0$. What is the solution set for $x$?

Accepted Answer

$x < 2$ or $x > 3$

Question 3

If a function $f(x)$ is defined as $f(x) = \frac{1}{x-a}$, what is the value of $a$ that makes the function have a vertical asymptote at $x=5$?

Accepted Answer

5