The simple sequence we have been looking at is called an arithmetic sequenceany time you are adding the same number to each term to complete the sequence it is called an arithmetic sequence the number that is added to each term is called the common difference and denoted with the letter dso in our example we would say that d 1. Sequences and series are most useful when there is a formula for their terms for instance if the formula for the terms a n of a sequence is defined as a n 2n 3 then you can find the value of any term by plugging the value of n into the formula for instance a 8 28 3 16 3 19in words a n 2n 3 can be read as the n th term is given by two enn plus three. Understanding sequences is an important first step toward understanding series the simplest notation for defining a sequence is a variable with the subscript n surrounded by braces for example you can reference a specific term in the sequence by using the subscript make sure you understand the difference between notation with and without braces the . Algebra sequences and series lessons with lots of worked examples and practice problems very easy to understand
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