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If the names arithmetic and geometric seem vague, that’s because their real identities are veiled in the halls of mathematicians since the time of Archimedes. With this link, you won’t be able to spy in on these top secret halls, but you will gain some insight into what these sequences are all about.
The best way to classify a Sasquatch is by comparing it to other animals you already know. With this link, you can compare new sequences to these to see if they are convergent or divergent.
If a black hole is a divergence, does that make a white hole a convergence? Ponder over that while you look at these examples to determine convergence and divergence of sequences.
Have you ever wondered what Einstein looked like before his hair turned white? This instructor gives a fairly good attempt at impersonating a young Einstein while teaching about arithmetic and geometric sequences.
You can be the Sherlock Holmes of sequences. You’ll learn how to deduce the equation of arithmetic sequences in this video. It’s not necessarily elementary.
This link will teach you how to find the ratio that binds a geometric sequence of numbers together.
Is the sequence like a well-behaved group of school children walking single-file across the street, or is it more like a pack of wolves run amok across the countryside? After watching this video, you’ll know.
Games and Tools
Step right up, step right up. Test your superior sequencing skills. Tell if the sequence is arithmetic or geometric. Tell me what the formula for the nth term is.
Line up a bunch of M&Ms into a sequence by color. Several M&Ms need to survive being eaten for you to see the sequence. This tool teaches you how to find any term of an arithmetic sequence with just two terms given. Arithmetic sequences > M&M sequences.
Do sequences feel a lot like leprechauns to you? You know they exist, but you just can’t see them. This tool will help you to visualize any sequence you desire. Look hard, and you may find that pot of gold at the end of the rainbow.