Sequences (OCR GCSE Maths): Flashcards

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Sequences
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Definition of a sequence

A set of numbers that follows a specific rule

Arithmetic sequence definition

A sequence where each term is found by adding a fixed number to the previous term

Geometric sequence definition

A sequence where each term is found by multiplying the previous term by a fixed number

Fibonacci sequence rule

Each number is the sum of the two previous numbers

nthnth term formula for linear sequences

an+ban+b

What does aa represent in an+ban+b?

The common difference

What does bb represent in an+ban+b?

A constant that adjusts the sequence

nthnth term of 13,19,25,31,37,...13,19,25,31,37,...

6n+76n+7

nthnth term of 20,16,12,8,4,...-20,-16,-12,-8,-4,...

4n244n-24

nthnth term of 21,16,11,6,1,...21,16,11,6,1,...

5n+26-5n+26

How to find 100th term using nthnth term formula

Substitute n=100n=100 into the formula

Key feature of quadratic sequences

The second difference is constant

General form of quadratic nthnth term

an2+bn+can^2+bn+c

Method for finding quadratic nthnth term

Identify square numbers, determine what to add/subtract

nthnth term of 2,1,6,13,22,...-2,1,6,13,22,...

n23n^2-3

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