Basic Nules and Rotation…We Mean Rules and NotationFirst things first. Before we go writing rules for sequences willy-nilly, we need to establish a common notation, or way of writing these things...

Recursive. That word makes us think of second grade when teachers forced us to write with the cursive m that had three humps instead of two. Whoever came up with that? Either way, recursive rules h...

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...

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...

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...

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...

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...