Free Printable 2.1-2.3 AP Precalc Quiz 1

1.

If the second term of an arithmetic sequence is 5 and the ninth term is 10, find the common difference d

2.

If the second term of an a geometric sequence is 5 and the ninth term is 10, find the common ratio r

3.

For an arithmetic sequence, $a_2=-3\ and\ a_6=-9,\ find\ a_8$

4.

For a geometric sequence, $g_2=1\ and\ g_5=-27,\ find\ g_6$

5.

Which of the following could represent the sequence {10, 2, -6, -14, ...}? Select all that apply:

a)

$f\left(n\right)=10-8\left(n-1\right)$

b)

$f\left(n\right)=-8+10n$

c)

$f\left(n\right)=-8+10\left(n-1\right)$

d)

$f\left(n\right)=18-8n$

e)

$f\left(n\right)=10-8n$

6.

Which of the following could represent the sequence $\left\{\frac{1}{2},\ 2,\ 8,\ 32,\ ...\right\}$ ? Select all that apply:

a)

$f\left(n\right)=\frac{1}{2}\left(\frac{1}{4}\right)^{\left(n-1\right)}$

b)

$f\left(n\right)=\frac{1}{2}\left(4\right)^{\left(n-1\right)}$

c)

$f\left(n\right)=2\left(\frac{1}{4}\right)^{\left(n-2\right)}$

d)

$f\left(n\right)=8\left(4\right)^{\left(n+3\right)}$

e)

$f\left(n\right)=\frac{1}{8}\left(4\right)^n$

7.

The following equation is written in point-slope form: $f\left(x\right)=7-5\left(x+4\right)$ . What is the slope m, and the point $\left(x_1,y_1\right)$ on the line?

a)

$m=7,\ \left(x_1,\ y_1\right)=\left(-5,\ 4\right)$

b)

$m=4,\ \left(x_1,y_1\right)=\left(7,\ -5\right)$

c)

$m=-5,\ \left(x_1,y_1\right)=\left(-4,\ 7\right)$

d)

$m=-5,\ \left(x_1,y_1\right)=\left(4,\ -7\right)$

8.

The exponential function 𝑓 is defined by $f\left(x\right)=ab^x$ , where 𝑎 and 𝑏 are positive constants. The table gives values of $f\left(x\right)$ at selected values of 𝑥. Which of the following statements is true?

a)

𝑓 demonstrates exponential decay because $a>0$ and $0<b<1$

b)

𝑓 demonstrates exponential decay because $a>0$ and $b>1$

c)

𝑓 demonstrates exponential growth because $a>0$ and $0<b<1$

d)

𝑓 demonstrates exponential growth because $a>0$ and $b>1$

9.

For the function $f\left(x\right)=5\left(\frac{3}{8}\right)^x$ , pick which set of limit statements is true:

a)

$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty,$ $\ \lim_{x\rightarrow\infty}f\left(x\right)=0$

b)

$\lim_{x\rightarrow-\infty}f\left(x\right)=0,$ $\ \lim_{x\rightarrow\infty}f\left(x\right)=-\infty$

c)

$\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty,$ $\ \lim_{x\rightarrow\infty}f\left(x\right)=0$

d)

$\lim_{x\rightarrow-\infty}f\left(x\right)=0,$ $\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$

10.

The function $f\left(x\right)=-4\left(5\right)^x$ is:

a)

Increasing and concave down

b)

Decreasing and concave down

c)

Increasing and concave up

d)

Decreasing and concave up

2.1-2.3 AP Precalc Quiz 1

Total questions: 10

Worksheet time: 12mins

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