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Find Missing Terms in a Sequence from a Formula

In this worksheet, students will find missing terms in a sequence from a given formula.

'Find Missing Terms in a Sequence from a Formula' worksheet

Key stage:  KS 3

Year:  Year 7 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Use Sequences to Find the nth Term

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

In this activity, we will be finding missing terms in a sequence from a given formula.

 

Example

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


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

 

This is because the difference between the values of the terms is 3, and we multiply that by the number of the term (n) to make 3n.

 

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 and 17    



Answer

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

 

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