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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.
Arithmetic sequences happen when you add numbers. The number added is called the common difference.
The Sequences and Series Cheat Sheet is a document that provides a concise summary of key concepts, formulas, and techniques related to sequences and series in mathematics. It is designed to assist students or learners in understanding and applying these mathematical concepts.
An explicit formula for this arithmetic sequence is given by an = a + (n −1)b, n ∈ N, a recursive formula is given by a1 = a and an = an−1 + b for n > 1. Here are some examples of arithmetic sequences, see if you can determine a and b in each case: 1, 2, 3, 4, 5, ... 2, 4, 6, 8, 10, ... 1, 4, 7, 10, 13, ...
Sequences and Series Cheat Sheet by ebabor - Cheatography.com. by ebabor via cheatography.com/69500/cs/17544/ General Rules. Telescoping and Geometric series are the only types of series that you can estimate sums from. So, you must use these test's properties to estimate these sums.
Sequences. Sequences are just ordered lists of numbers such as this one. f1; 2; 3; 4; 5; g. We label each term with an index so we can keep track of it. We’ll call the first term a1, the second term a2, and so on. So we would notate the general n th term as an.
This gives a sequence of numbers: 3, 2, 1 1 3, .. etc. This unit is about how to tackle problems that involve sequences like this and gives further examples of where they might arise. It also examines sequences and series in general, quick methods of writing them down, and techniques for investigating their behaviour.
