Year 8
Year 8

Finding the term-to-term rule

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Lesson details

Key learning points

  1. In this lesson we will learn how to find the term-to-term rule for a sequence.

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5 Questions

Q1.
Which definition best describes an arithmetic sequence?
Correct answer: A sequence of numbers with a constant difference between each term.
A sequence that goes up by 2 each time.
A sequence where we can easily find the nth term.
A sequence where we cannot find the nth term.
Q2.
Which of the following is NOT an arithmetic sequence?
-2n - 4
-3, -1, 1, 3, 5, ...
0.5, 1.5, 2.5, 3.5, 4.5, ...
Correct answer: 2, 4, 8, 16, 32, ...
Q3.
Which of the following statements is true?
Arithmetic sequences cannot have decimal numbers in them.
Arithmetic sequences cannot have negative numbers in them.
It is impossible to find the nth term of a sequence that isn't arithmetic.
Correct answer: It is possible to find the nth term of a sequence that isn't arithmetic.
Q4.
How many squares does the next term in this sequence have?
An image in a quiz
16
19
Correct answer: 21
26
Q5.
What is the nth term of the sequence in the image?
4n - 3
5n - 3
Correct answer: 5n - 4
n + 5

5 Questions

Q1.
Which best describes the term-to-term rule?
A rule which connects the position number to each term.
A rule which gives us the nth term in the sequence.
Correct answer: A rule which illustrates how to get from one term to the next.
A rule which tells us the first term.
Q2.
Which sequences starts at 2 and has a term-term-term rule of multiply by 3?
2, 4, 6, 8, 10, ...
2, 5, 8, 11, 14, ...
Correct answer: 2, 6, 18, 54, 162, ...
3, 6, 12, 24, 48, ...
Q3.
Which sequence starts at -1 and has a term-to-term rule of multiply by -4?
-1, -4, -16, -64, -256, ...
-1, -5, -9 -13, -17, ...
Correct answer: -1, 4, -16, 64, -256, ...
1, -4, 16, -64, 256, ...
Q4.
What is the term-to-term rule of the sequence 60, 30, 15, 7.5, 3.75, ...?
Multiply the current term by -2.
Correct answer: Multiply the current term by 0.5.
Multiply the current term by 2.
Subtract 30 from the current term.
Q5.
What is the term-to-term rule of the sequence -2, 4, 16, 256, ...?
Add 6 to the current term.
Multiply the current term by -2.
Multiply the current term by 2.
Correct answer: Square the current term.