Sequences and Functions: A High School Math Exercise, Assignments of Mathematics

A series of exercises designed to reinforce understanding of sequences and functions in a high school mathematics context. It covers topics such as identifying patterns, determining term-to-term rules, and applying position-to-term rules. The exercises are presented in a clear and concise manner, making them suitable for independent study or classroom use.

Typology: Assignments

2022/2023

Uploaded on 11/16/2024

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UNIT 9-7
34 marks from 34 questions
Question 1
What is the missing last term in Terry’s pattern?
Question 2
0.3, 0.9, 1.2, 1.5, ...
A pattern of numbers like this is called:
a. a session
b. a sequence
c. a sentence
Question 3
What is the next term in this sequence?
16.5, 16.6, 16.7, 16.8, 16.9,
Question 4
Choose the correct rule for this pattern:
a. The number of matches is one more than the
number of Vs.
b. The number of matches equals the number of
Vs.
c. The number of matches is double the number
of Vs.
d. The number of Vs is two more than the number
of matches.
pf3
pf4
pf5

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UNIT 9-

34 marks from 34 questions

Question 1

What is the missing last term in Terry’s pattern?

Question 2

A pattern of numbers like this is called:

a. a session b. a sequence c. a sentence

Question 3

What is the next term in this sequence?

16.5, 16.6, 16.7, 16.8, 16.9,

Question 4

Choose the correct rule for this pattern:

a. The number of matches is one more than the number of Vs.

b. The number of matches equals the number of Vs.

c.

The number of matches is double the number of Vs.

d. The number of Vs is two more than the numberof matches.

Enter numbers to complete the term-to-term rule for this sequence.

add

The table shows values for the number of V shapes and the number of matches.

Number of V shapes 1 2 3

Number of matches 2 4 6

Complete the position-to-term rule.

Term = × position number

Question 7

What is the third term of the sequence with nth term 7 n– 5?

Question 8

The nth term linking the number of matches to the number of triangles is:

nth term = 2 n+ 1

Use this rule to find the number of trianglesyou would need to make 17 triangles.

Number of matches =

Question 9

What is the third term of the sequence with position-to-term rule 4 n+ 1?

Question 10

A position-to-term rule allows you to calculate any particular term of a sequence quickly and easily.

a. True b. False

Note how the number of matches increases each time the pattern changes.

You could say that the increase in the number of matches:

a. is different each time the pattern changes b. can be predicted each time the pattern changes

c. is increased by two each time the patternchanges

d. is unpredictable each time the pattern changes Be sure to select all correct answers.

43 is a term in the sequence 3 n– 2. What is the value of n?

Question 19

A sequence starts 10, 17, 24, …. Fill in the missing number in the nth term rule.

7n +

Question 20

Which one of the following nth term rules describes the sequence 9, 11, 13, …?

a. 9 n+ 2 b. n+ 2 c. 2 n+ 7

Question 21

Fill in the missing number in the nth term rule for the sequence 2, 7, 12, …

n– 3

Question 22

y = x ÷ 2 + 1

When the input is 5, what is the output of the function with this equation?

Output = 3 2

y = 2 x + 4

When the input is 7, what is the output of the function with this equation?

Output =

Find the position-to-term rule for this sequence.

Term = × position number +

Question 25

Complete the table of values and the position-to-term rule for this pattern.

Position number 1 2 3 4

Term 6 11 16 21

Multiples of 15 20

Term = × position number +

Question 26

y = 2 x− 5

Complete the table for this funct

Input Function

2 × 2 − 5

5 × 2 − 5

× 2 − 5

Dakarai thinks of a number, multiplies it by seven and then subtracts nine to get the answer twenty- five.

Oditi creates a function to work backwards to find the number Dakarai thought of.

What was Oditi’s function?

(Put a number of operator symbol in each box.)

x

y

Input Output

Complete the function for this table of values.

(Put a number or operator symbol in each box.)

y =

x

Question 33

Input Output

Complete the function for this table of values.

(Put a number or operator symbol in each box.)

y= x

Question 34

Input Output

Complete the function for this table of values.

(Put a number or operator symbol in each box.)

y = x