Free Printable Unit 7 Test Review

1.

Which of the following best describes this sequence?

\left\{2,\ -4,\ \ 8,\ -16,\ 32,\ ...\right\}

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

2.

Which of the following best describes this sequence?

\left\{32,\ 20,\ 8,\ -4,\ ...\right\}

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

3.

Which of the following best describes this sequence?

\left\{1,\ 3,\ 6,\ 10,\ 15,\ 21,\ ...\right\}

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

4.

Which explicit formula describes the sequence?

-1,\ 3,\ 7,\ 11,\ ...

a)

$a_n=-4+\left(n-1\right)\left(-1\right)$

b)

$a_n=\left(-4\right)\left(-1\right)^{\left(n-1\right)}$

c)

$a_n=-1+\left(n-1\right)\left(-4\right)$

d)

$a_n=\left(-1\right)\left(-4\right)^{\left(n-1\right)}$

5.

The diagrams represent the first three terms of a sequence. Assuming the pattern continues, how many shaded squares are in the 6th term?

a)

26

b)

28

c)

30

d)

32

6.

What is the formula for the nth term of the sequence 3, -6, 12, -24, 48, ...?

a)

$a_n=-2\left(3\right)^n$

b)

$a_n=3\left(-2\right)^n$

c)

$a_n=-2\left(3\right)^{\left(n-1\right)}$

d)

$a_n=3\left(-2\right)^{\left(n-1\right)}$

7.

Which of the following best describes this sequence?

\left\{5,\ 8,\ 11,\ 14,\ ...\right\}

a)

An arithmetic sequence with a common ratio of 3.

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of 3.

8.

Which of the following best describes this sequence?

\left\{135,\ 45,\ 15,\ 5,\ ...\right\}

a)

An arithmetic sequence with a common ratio of $\frac{1}{3}$

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of $\frac{1}{3}$

9.

What is the 16th term of the following sequence?

\left\{10,\ 12,\ 14,\ 16,\ 18,\ ...\right\}

a)

36

b)

38

c)

40

d)

42

10.

What is the 12th term of the following sequence?

\left\{3,-6,\ 12,\ -24,\ 48,\ ...\right\}

a)

$6,411$

b)

$-6,411$

c)

$354,294$

d)

$-354,294$

11.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

12.

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

a)

-20, -24, -28

b)

-21, -25, -29

c)

-23, -28, -33

d)

-24, -29, -32

13.

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

a)

182

b)

176

c)

170

d)

-118

14.

Find a₁₂ in the sequence -1, -3, -9, -27, ...

a)

-177,147

b)

-19,683

c)

-59,049

d)

118,098

15.

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

a)

384

b)

768

c)

1,536

d)

27

16.

Find the missing term of the geometric sequence: 45, ______, 1620

a)

9720

b)

51

c)

6

d)

270

17.

Write the explicit formula for the geometric sequence.

a)

a_n = 10(2)^n-1

b)

a_n = 2(10)^n-1

c)

a_n = 10(2)ⁿ

d)

a_n = 2(10)ⁿ

18.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

19.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

20.

a)

(2.5+h)f

b)

g=1

c)

f(5+h)/2

d)

(5f+h) / 2

21.

P = a + (n - 1)b

Solve for b

a)

$b=\frac{P-a}{n-1}$

b)

$b=\frac{P}{a+\left(n-1\right)}$

c)

$b=\frac{P}{a}-\left(n-1\right)$

d)

$b=\frac{P}{n-1}-a$

22.

$h=vt-16t^2$
Solve for v

a)

$v=\frac{h-16t^2}{t}$

b)

$v=\frac{h}{v}+16t^2$

c)

$v=\frac{h}{v}-16t^2$

d)

$v=\frac{h+16t^2}{t}$

23.

$a\ =\ \frac{v^2}{r}$

Solve for the formula of: r

a)

$r\ =\ \frac{v^2}{a}$

b)

$r\ =\ \frac{a}{v^2}$

c)

$r\ =\ \sqrt{\frac{a}{v2}}$

d)

none of the above

24.

$P\ =\ I^2R$

Solve for the formula of: I

a)

$I\ =\ \frac{P}{R^2}$

b)

$I\ =\ \sqrt{\frac{R}{P}}$

c)

$I\ =\ \sqrt{\frac{P}{R}}$

d)

None of the above

25.

$V\ =\ \frac{1}{2\ }\pi r^2h$

Solve for the formula of: r

a)

$r\ =\ \sqrt{\frac{\pi h}{2v^{ }}}$

b)

$r\ =\ \sqrt{2v\pi h}$

c)

$r\ =\ \sqrt{\frac{2v}{\pi h}}$

d)

None of the above

Unit 7 Test Review

Total questions: 25

Worksheet time: 1hrs 7mins

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