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Write the Terms of a Sequence from a Formula

In this worksheet, students find the first five terms of a sequence from a given formula.

'Write the Terms of a Sequence from a Formula' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

Difficulty level:  

Worksheet Overview

In this worksheet, you must find the first five terms of a sequence from a given formula.

 

Example

We can find the terms of a sequence from a formula which relates each term to its position in the sequence


The nth term of a sequence is given by the formula 3n+2

 

Substitute n=1   first term is 3×1+2 = 5
  n=2   second term is 3×2+2 = 8
  n=3   third term is 3×3+2 = 11
  n=4   fourth term is 3×4+2 = 14
  n=5   fifth term is 3×5+2 = 17

 

The first five terms are    5    8    11    14    17


NB The difference between each term is 3. In the formula you multiply n by 3 to get 3n
 

Answer

n=1 5
n=2 8
n=3 11
n=4 14
n=5 17

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