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What I want to do in this video is familiarize ourselves with a very common class of sequences. And this is arithmetic sequences. And they are usually pretty easy to spot. They are sequences where each term is a fixed number larger than the term before it. So my goal here is to figure out which of these sequences are arithmetic sequences.
Learn about sequences in algebra with Khan Academy's Unit 9, including arithmetic and geometric sequences.
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Sal finds the recursive formula of the arithmetic sequence 4, 3⅘, 3⅗, 3⅖,...
Khan Academy
Geometric sequences differ from arithmetic sequences. In geometric sequences, to get from one term to another, you multiply, not add. So if the first term is 120, and the "distance" (number to multiply other number by) is 0.6, the second term would be 72, the third would be 43.2, and so on.
And so one way to think about it is this function "f" is defining a sequence where the first term of this sequence is 12. The second term of this sequence is five. The third term of this sequence is negative two. The fourth term of the sequence is negative nine. And it goes on, and on, and on. And you might notice that it's a arithmetic sequence.
In this unit, we learn about the various ways in which we can define sequences. We'll construct arithmetic and geometric sequences to describe patterns and use those sequences to solve problems. Skip to main content. If you're seeing this message, it means we're having trouble loading external resources on our website.