1.2 Sequences and Series

By the end of this chapter, you will have:

$\diamond$ learned notation for intervals in the real line;

$\diamond$ revised polynomials and rational functions

$\diamond$ learned the principle of mathematical induction;

$\diamond$ proved identities involving sums of squares using induction;

$\diamond$ seen the definitions of limit and convergent sequence;

$\diamond$ seen examples of convergent and divergent sequences;

$\diamond$ learned the notion of a series, and used summation notation;

$\diamond$ learned the definition of a convergent series;

$\diamond$ evaluated the partial sums and found the sum of the telescoping series $\sum 1/n(n+1)$;

$\diamond$ proved the geometric series formula.