Tags » Sequences And Series

Mathematical Induction

What is Induction?

Induction is a mathematical proof used to prove a statement about a given sequence or series.

What is the rationale behind induction? 293 more words

Math

What Convergence Test Should I Use? Part 2

In last’s Friday’s post I really didn’t answer this question. Rather, I tried to show that there is not only one convergence test that must be used on a given series. 761 more words

Sequences And Series

Which Convergence Test Should I Use? Part 1

One common question from students first learning about series is how to know which convergence test to use with a given series.  The first answer is: practice, practice, practice. 746 more words

Sequences And Series

More on Power Series

Continuing with post on sequences and series

New Series from Old 1 Rewriting using substitution

New Series from Old 2 Finding series by differentiating and integrating… 79 more words

Power Series

Introducing Power Series

The posts for the next several weeks will be on topics tested only on the BC Calculus exams. Continuing with some posts on introducing power series (the Taylor and Maclaurin series) 90 more words

Power Series

Infinite Series

The posts for the next several weeks will be on topics tested only on the BC Calculus exams. The first few weeks will be past posts on sequences and series. 62 more words

Sequences And Series

The Divergence of the Harmonic Series

The fact that the harmonic series, , diverges has been known since the time of Nicole Oresme in the 14th century, but this fact is still somewhat surprising from a numerical standpoint.   309 more words

Sequences And Series