



Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
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
1 / 7
This page cannot be seen from the preview
Don't miss anything!




What is the missing last term in Terry’s pattern?
A pattern of numbers like this is called:
a. a session b. a sequence c. a sentence
What is the next term in this sequence?
16.5, 16.6, 16.7, 16.8, 16.9,
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
What is the third term of the sequence with nth term 7 n– 5?
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 =
What is the third term of the sequence with position-to-term rule 4 n+ 1?
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?
A sequence starts 10, 17, 24, …. Fill in the missing number in the nth term rule.
7n +
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
Fill in the missing number in the nth term rule for the sequence 2, 7, 12, …
n– 3
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 +
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 +
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.)
y
Input Output
Complete the function for this table of values.
(Put a number or operator symbol in each box.)
y =
x
Input Output
Complete the function for this table of values.
(Put a number or operator symbol in each box.)
y= x
Input Output
Complete the function for this table of values.
(Put a number or operator symbol in each box.)
y = x