Year 8

The nth term rule: Position-to-term for arithmetic sequences

Year 8

The nth term rule: Position-to-term for arithmetic sequences

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Lesson details

Key learning points

  1. In this lesson, we will learn to find and understand the nth term rule for arithmetic sequences.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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3 Questions

Q1.
Look at the number grid shown on the right. Write down the column and row that match the tracking calculation 5 x 3 - 1
An image in a quiz
Row 1 Column C
Row 3 Column B
Correct answer: Row 3 Column C
Row 3 Column E
Q2.
Look at the same number grid. Pick the tracking calculation that matches column E row 25.
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5 x 24 + 1
5 x 25
5 x 25 - 1
Correct answer: 5 x 25 + 1
Q3.
Look at the same number grid. Which column and row would 38 fall into?
Correct answer: Row 8 Column B
Row 8 Column C
Row 9 Column B
Row 9 Column C

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?
An image in a quiz
Correct answer: A
B
C
D
Q3.
Work out the position-to term-rules for column a.
An image in a quiz
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