Year 8
Year 8

Descending arithmetic sequences

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Lesson details

Key learning points

  1. In this lesson, we will learn to find the nth term rule for descending arithmetic sequences using tables.

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5 Questions

Q1.
Which column has the position-to-term rule 4n + 1?
An image in a quiz
A
B
Correct answer: C
D
Q2.
Which column has the position-to-term rule 4n - 1?
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Correct answer: A
B
C
D
Q3.
Work out the position-to term-rules for column a.
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5n + 11
5n + 6
Correct answer: 6n - 1
6n + 1
Q4.
Work out the position-to term-rules for column b.
An image in a quiz
Correct answer: 6n + 2
6n + 3
8n
8n + 14
Q5.
Work out position-to-term rules for the sequence 3, 7, 11, 15, 19, ...
3n
3n + 7
Correct answer: 4n - 1
4n + 1

5 Questions

Q1.
What do we mean if we describe a sequence as "descending"?
The sequence is all negative numbers
Correct answer: The sequence is decreasing term-to-term
The sequence is less important
Q2.
Which of the following is an example of a descending sequence?
-12, -10, -8, -6, ...
-5, -4, -3, -2, ...
Correct answer: 10, 8, 6, 4, ...
3, 4, 5, 6, ...
Q3.
What is the nth term of 10, 8, 6, 4, 2, ...?
Correct answer: -2n + 12
-2n + 8
2n + 12
2n + 8
Q4.
What is the nth term of -4, -7, -10, -13, ...?
Correct answer: -3n - 1
-3n + 1
-4n + 7
3n - 7
Q5.
Find the first 5 terms of the sequence -5n + 2.
Correct answer: -3, -8, -13, -18, -23
-5, -3, -1, 1, 3
-5, 2, 9, 18, 27
-7, -12, -17, -22, -27