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The term-to-term rule is also known as the recursion rule. A term-to-term rule describes how to get from previous terms to the next. The rule must also state how the sequence must be started. The sequence 1, 2, 4, 8, 16, … has the term-to-term rule of “double the previous term and start with 1”.
- 4.1 Binomial Expansion
Look at the pattern Start at n C 0, then n C 1, n C 2, etc;...
- 4.5 Sequences & Series
Increasing, decreasing and periodic sequences. A sequence is...
- Sigma Notation
Sigma Notation - Sequences and Series | Edexcel A Level...
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Geometric Series - Sequences and Series | Edexcel A Level...
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Recurrence Relations - Sequences and Series | Edexcel A...
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Approximating Values - Sequences and Series | Edexcel A...
- 4.1 Binomial Expansion
Sequences and Series Cheat Sheet. sequence is a list of terms. For example, 3, 6, 9, 12, 15, ... series is the sum of a list of terms. For example, 3 + 6 + 9 + 12 + 15 + ... The terms of a sequence are separated by a comma, while with a series they are all added together.
The series of numbers 1, 2, 4, 8, 16 ... is an example of a geometric sequence, sometimes called a geometric progression (GP). Each term in the progression is found by multiplying the previous number by 2. Such sequences occur in many situations; the multiplying factor does not have to be 2.
This resource provides a suggested framework for analysing a film sequence and should be considered flexible and adaptable for purpose. Model answers are not provided, as there are no ‘right’ answers here: the questions are intended as a starting point for discussion and further exploration.
A geometric progression (GP), also called a geometric sequence, is a sequence of numbers which differ from each other by a common ratio. For example, the sequence 2, 4, 8, 16, \dots 2,4,8,16,… is a geometric sequence with common ratio 2 2. We can find the common ratio of a GP by finding the ratio between any two adjacent terms.
Feb 22, 2021 · The sequence is a harmonic sequence with common difference, d, of -2. d) Square sequence . It is the sequence {1, 4, 9, 16….}, where each element is square of a number (in ascending order). Its simplest representation is, e) Fibonacci sequence . It is one of the most fascinating and elegant set of numbers.
Geometric Sequences. In a Geometric Sequence each term is found by multiplying the previous term by a constant. Example: 1, 2, 4, 8, 16, 32, 64, 128, 256, ... This sequence has a factor of 2 between each number. Each term (except the first term) is found by multiplying the previous term by 2.
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