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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.
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.
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.
1.5 Rules for sequences. Here are the rules your sequence friends use to make babies. Suppose (an) and (bn) are covergent sequences, that (cn) is a divergent sequence, that k is a real number, and f(x) is a continuous function de ned at all an and limn!1 an. limn!1 f(an) = f(limn!1 an).
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, ...
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.
13 SEQUENCES AND SERIES. Objectives. After studying this chapter you should. • be able to recognise geometric and arithmetic sequences; • understand å notation for sums of series; • be familiar with the standard formulas for å r, å r2 and å r3; 13.0 Introduction.
