Question

Problem Zero: Read the section and make your own summary of the material.

Short answer

The required summary of the chapter is as following :-

This section begins with the definition and explanation of a sequence of numbers. This section provides us the definitions of different types of sequences of numbers like Recursive Sequences, Geometric Sequences, Arithmetic Sequences, Monotonic Sequences.

we studied about three tests of monotonicity :- difference test, ratio test and derivative test.

We studied about bounded above, bounded below and unbounded sequence with the help of definitions and some examples.

After that the section closes.

Step-by-step solution

Step 1. Given Information

We have to read the section $7.1$and make a summary of this section of the chapter $7$sequence and series of Calculus book.

Step 2. Summary of the section

As this is the first section of the chapter, so this section required to give some basic knowledge ab out sequence and series.

As this this section begins with the definition and explanation of a sequence of numbers.

After we know that there are so many types of sequences.

So this section provides us the definitions of different types of sequences of numbers like Recursive Sequences, Geometric Sequences, Arithmetic Sequences, Monotonic Sequences. We studied about these sequences with some examples.

After that monotonicity of a sequence takes place. Here we studied about three tests of monotonicity :- difference test, ratio test and derivative test.

After that we studied about bounded sequence. We studied about bounded above, bounded below and unbounded sequence with the help of definitions and some examples.

After that the section closes.