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Chapter 17 Sequences and Series
Suppose we want to generate a list of integers that are
\(2\) more than a multiple of
\(3\text{.}\) For example,
\(32\) is one of these numbers because
\(32 = 3(10)+2\text{.}\) In other words, we want to create a list of numbers of the form
\(3k+2\text{.}\)
Or perhaps we want a nice way to express and generate all the odd numbers
\(1,3,5,7,9,\ldots\) (numbers of the form
\(2k+1\) ).
These lists are called
sequences . In both of these examples,
\(k\) is known as an
index .
