Free Printable Sequences, Series, Probability, & Counting Practice

1.

Write the nth term formula for the following series:

6 + 13 + 20 + 27 + ...

a)

$a_n=6+7n$

b)

$a_n=6+7\left(n-1\right)$

c)

$a_n=6+13\left(n-1\right)$

d)

$a_n=-1+7\left(n-1\right)$

2.

Find the sum for the following arithmetic series:

2nd term is 8
5th term is 23
10 terms

a)

130

b)

230

c)

255

d)

280

3.

Write the nth term formula for the following series:

5 + 20 + 80 + 320 + ...

a)

$a_n=5+15\left(n-1\right)$

b)

$a_n=5\cdot4n$

c)

$a_n=4\cdot5^n$

d)

$a_n=5\cdot4^{\left(n-1\right)}$

4.

Find the sum of the following geometric series:

2nd term is 10
5th term is 80
8 terms

a)

1275

b)

640

c)

865

d)

1090

5.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

6.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

125

7.

7!

a)

4050

b)

5400

c)

5040

d)

4500

8.

Find the number of possibilities:
A group of 25 people are going to run a race. The top 8 finishers advance to finals.

a)

625

b)

4.36 X 10¹⁰

c)

1,081,575

9.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

10.

There are 19 students in a class, the teacher is making groups of 3. What is the probability that Alex, Connor, and Meredith all end up in the same group?

a)

969

b)

$\frac{1}{969}$

c)

$\frac{1}{19C3}$

d)

$\frac{1}{19P3}$

e)

$\frac{1}{5814}$

Sequences, Series, Probability, & Counting Practice

Total questions: 10

Worksheet time: 32mins

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