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AQA GCSE Maths Introduction to sequences

Introduction to sequences

This page covers the following topics:

A sequence is an ordered list of numbers that can be described by a specific rule. Each number in a sequence is, in turn, called a term of the sequence and each term occupies a position in the sequence.

Basics of sequences

The term to term rule of a sequence describes how to get from one term to the next in the sequence. To find the term to term rule, start at the first term and look for a pattern in moving between consecutive terms. From the term to term rule and the first term of a sequence the position to term rule, or general rule, can be worked out and used to find the nth term of a sequence, that is the term at position n where n is any position in a sequence.

Generating terms in a sequence

A series is the sum of the terms of a sequence up to its nth term. It is denoted by Sn and is expressed as:

Series

1

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Consider the sequence {17, 15, 13, 11, 9, 7, 5, 3, 1}. What is the seventh term of the sequence?

AQA GCSE Maths Introduction to sequences Consider the sequence {17, 15, 13, 11, 9, 7, 5, 3, 1}. What is the seventh term of the sequence?
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2

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Are the two lists {1, 3, 5, 7, 9, 10, 11, 13, 15, 17} and {1, 3, 5, 9, 7, 10, 11, 13, 15, 17} the same sequence? Explain your answer.

AQA GCSE Maths Introduction to sequences Are the two lists {1, 3, 5, 7, 9, 10, 11, 13, 15, 17} and {1, 3, 5, 9, 7, 10, 11, 13, 15, 17} the same sequence? Explain your answer.
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3

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What are the requirements to find the position to rule term, or general rule, of a sequence?

AQA GCSE Maths Introduction to sequences What are the requirements to find the position to rule term, or general rule, of a sequence?
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4

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Consider the sequence {2, 4, 6, 8, 10, 12}. What is the position to term rule describing the even numbers sequence?

AQA GCSE Maths Introduction to sequences Consider the sequence {2, 4, 6, 8, 10, 12}. What is the position to term rule describing the even numbers sequence?
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5

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What is the 100th term of the sequence Un = 7n βˆ’ 2?

AQA GCSE Maths Introduction to sequences What is the 100th term of the sequence Un = 7n βˆ’ 2?
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