Finding The nth Term (Arithmetic Sequences)

This lesson covers:

  1. How to write an expression for the nth term of an arithmetic sequence 
  2. E.g. The expression for 5, 7, 9, 11... is 2n + 3
  3. How to use the expression for an arithmetic sequence to find a particular term
  4. E.g. 'A sequence is represented by the expression 4n + 1. Find the 50th term of the sequence.'

Find the expression that represents the following sequence:

8, 13, 18, 23, 28

5n+3
5n+8
8n+5
3n+5

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Find the expression that represents the following sequence:

25, 22, 19, 16, 13

-3n+28|28-3n

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1

Find the expression that represents the following sequence:

3, 10, 17, 24, 31

7n-4|-4+7n

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1

An arithmetic sequence is represented by the equation below. Find the 20th term in the sequence. 

nth term=5n+3
103

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An arithmetic sequence is represented by the equation below. Find the 8th term in the sequence. 

nth term=−7n−4
-60

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An arithmetic sequence is represented by the equation below. Find the 30th term in the sequence. 

nth term=6n−14
166

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Find the expression that represents the following sequence:

-1, 1.5, 4, 6.5, 9

2.5n-3.5|\frac{5}{2}n-3.5|-3.5+2.5n|-3.5+\frac{5}{2}|\frac{5}{2}n-\frac{7}{2}|-\frac{7}{2}+\frac{5}{2}n|\frac{5n}{2}-3.5

[0/1]

Use this expression to find the 10th term in the sequence.

21.5|\frac{43}{2}

[0/1]

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Find the expression that represents the following sequence:

32, 50, 68, 86, 104

18n+14|14+18n

[0/1]

Use this expression to find the 50th term in the sequence.

914

[0/1]

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Find the expression that represents the following sequence:

11, 7, 3, -1, -5

-4n+15|15-4n

[0/1]

Use this expression to find the 10th term in the sequence.

-25

[0/1]

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