  # Find Missing Terms in a Sequence from a Formula

In this worksheet, students will find missing terms in a sequence from a given formula. Key stage:  KS 3

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

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

Let's have a go at some questions.

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