Learn about and revise how to continue sequences and find the nth term of linear and quadratic sequences with GCSE Bitesize AQA Maths.
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The 𝑛th term of an arithmetic sequence close arithmetic sequence A sequence that increases or decreases by the same number each time, eg 4, 7, 10, 13. Sometimes called a linear sequence ...
Introduction to Sequences What are sequences? A sequence is an ordered set of numbers that follow a rule. For example 3, 6, 9, 12... The rule is to add 3 each time. Each number in a sequence is called a term. The location of a term within a sequence is called its position. The letter n is used for position. n = 1 refers to the 1st term. n = 2 refers to the 2nd term
Geometric sequence: A sequence where each term is multiplied by a constant ratio. nth term formula: $\text{Term} = a \times r^{(n-1)}$. Special sequences: Includes Fibonacci, square numbers, and cube numbers. By understanding and practising these concepts, you'll be well-prepared to tackle any sequence problem in your GCSE Maths exam.
Edexcel GCSE Mathematics ... The first five terms of an arithmetic sequence are 2 9 16 23 30 Find, in terms of n, an expression for the nth term of this sequence. ..... (Total 2 marks) 15. Here are the first five terms of a number sequence. 3 8 13 18 23 (a) Write down the ...
Free online GCSE video tutorials, notes, exam style questions, worksheets, answers for all topics in Foundation and Higher GCSE. ... Sequences (nth term) Solutions: 4.8: Expanding and Factorising: Exam Questions: Expand and Factorise: Solutions: 4.9: ... Edexcel IGCSE Maths GCSE Statistics. A Level. Learn A Level Maths Edexcel A Level Papers ...
GCSE (1 – 9) Sequences Name: _____ Instructions • Use black ink or ball-point pen. • Answer all Questions. • Answer the Questions in the spaces provided – there may be more space than you need. ... Here is a sequence of patterns made from white tiles and grey tiles. (1) (a) In the space below, draw pattern number 4.
For both higher and foundation GCSE maths, you will need to be able to identify geometric progressions but do not need to find the nth term. 3. Fibonacci sequences This is probably the most famous sequence in mathematics. Fibonacci sequences are sequences where each term is the sum of the previous two terms. In a Fibonacci sequence, the first ...
Learn about and revise how to continue sequences and find the nth term of linear and quadratic sequences with GCSE Bitesize OCR Maths.
Notice that two terms are needed to start a Fibonacci sequence. Any sequence that has the term-to-term rule of adding the previous two terms is called a Fibonacci sequence but the first two terms will not both be 1. Fibonacci sequences occur a lot in nature such as the number of petals of flowers
The formula for the nth term in a geometric sequence is ar^(n-1), where ‘a’ is the first term and ‘r’ is the common ratio. Fractional Sequences. A fractional sequence is a sequence where the nth term is given by a fraction. In a fractional sequence, the numerator and the denominator often follow separate arithmetic or geometric sequences.
Linear sequences are the easiest type of sequence at GCSE maths. Every term in the sequence is formed by adding or subtracting a constant term from the previous term. This video explains how to find the nth term of a linear sequence such as 7, 11, 15, 19, ... in which the term-to-term rule is +3.
Introduction to Sequences What are sequences? A sequence is an ordered set of numbers that follow a rule. For example 3, 6, 9, 12... The rule is to add 3 each time. Each number in a sequence is called a term. The location of a term within a sequence is called its position. The letter n is used for position. n = 1 refers to the 1st term. n = 2 refers to the 2nd term
GCSE TOPIC BOOKLET SEQUENCES: THE BASICS ©MathsDIY.com Page 1 of 10 1. 3. 4. 2. ... MATHS 0000 0000 ooon OOOU (a) A sequence starts with 8. Equal amounts are added each time to get the next term. Write down the three missing terms of the sequence 26 (a) Write down the next term in each of the following sequences. (ii) 90, ...
GCSE; Edexcel; Sequences - Edexcel Sequences. Sequences can be linear, quadratic or practical and based on real-life situations. Finding general rules helps find terms in sequences. Part of Maths ...
The questions in this quiz are suitable for GCSE maths students studying sequences, position to term rules, using the nth term, finding the nth term of quadratic sequences - Higher, geometric ...
After studying this section, you will be able to: generate sequences given a rule and understand some of the vocabulary used in algebra construct an algebraic expression for the nth term of a sequence Generating terms of a sequence ... Maths GCSE Revision; Algebra; Sequences. After studying this section, you will be able to:
What is a Fibonacci sequence? The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, .... The sequence starts with the first two terms as 1. Each subsequent term is the sum of the previous two. ie The term-to-term rule is a n+2 = a n+1 + a n. Notice that two terms are needed to start a Fibonacci sequence
