Learn how to write an arithmetic sequence in general terms, using a common difference d and a first term a. Next, we'll see that this formula is equivalent to multiplying the average of the first …

This unit explores geometric series, which involve multiplying by a common ratio, as well as arithmetic series, which add a common difference each time. We'll get to know summation …

Convergent and divergent infinite series Learn Convergent and divergent sequences Worked example: sequence convergence/divergence

Learn how to find the sum of the first 50 terms of a series by multiplying each term by a common ratio. Discover how to apply the formula for the sum of a finite geometric series.

Practice Recursive formulas for arithmetic sequences Get 3 of 4 questions to level up!

Practice Up next for you: Use arithmetic sequence formulas Get 5 of 7 questions to level up!

Walk through a guided practice where you'll start by finding a simple sum and end by evaluating finite arithmetic series.

This topic covers: - Recursive and explicit formulas for sequences - Arithmetic sequences - Geometric sequences - Sequences word problems

So all I want to do in this video is to really clarify differences between sequences and series, and make you a little bit comfortable with the notation. In the next few videos, we'll actually try to …

Some infinite series converge to a finite value. Learn how this is possible, how we can tell whether a series converges, and how we can explore convergence in Taylor and Maclaurin series.