Sequences and Series Topics
Sequences
Just like the different lists we threw out in the introduction, there are such things as mathematical lists, too. A sequence is just a list of numbers separated by commas. Like this:1, 3, 5, 7, 9,...
Series
It's All Starting to Add UpIf sequences are the regular season, series are the Super Bowl. You need to be successful during the football season to get to the big game. Series build on sequences th...
Arithmetic Sequences
Okay Shmoopers, if you've made it this far, you're ready to get a little more specific with all this sequence and series business. Luckily, we've got your back. Totally. Or is it just totes?The...
Arithmetic Series
Time to crank it up another notch with arithmetic series. The only difference between an arithmetic series and an arithmetic sequence is that the series is just the sum of all the terms.There is, h...
Geometric Sequences
It's our experience that people tend to wig out by the time they get to geometric sequences. Shmoop to the rescue. What else is new? All you need to remember is that while arithmetic sequences add...
Geometric Series
It's almost the last section, Shmoopers. A geometric series is just the added-together version of a geometric sequence. Like this:1 + 2 + 4 + 8 + 16 + 32 + ...Instead of just listing all the ter...
In the Real World
We here at Shmoop R Us would be remiss if we didn't provide you with some real world information and advice regarding all these sequences and series. This is especially true considering all the dif...