An Introduction to Sequences and Series
Sequences are to calculus like a calculator is to a scientist.
Consider a scientist doing an experiment; he is collecting data, let us say, every day. So, let x1 to be the data collected the first day, x2 be the data collected the second day, and so on.... and xn is the data collected after n days. Clearly, we are generating a set of numbers with a very special characteristic: there is an order on the number, that is, we naturally have the first number, the second number, and so on.... A sequence is by definition a set of real numbers with natural order.
In general, a sequence is an ordered arrangement of numbers, figures, or objects.
Learn more about sequences and series below.
An Introduction to Sequences and Series
Practice: Answer the following exercises about sequences and series.
An Introduction to Sequences and Series 1
An Introduction to Sequences and Series 2