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How to determine if a sequence is arithmetic or geometric

175,685 views November 11, 2013 2:06

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ChannelBrian McLogan

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👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence.

An arithmetic sequence is a sequence in which each term of the sequence is obtained by adding a common value, called the common difference, to the preceding term. A geometric sequence is a sequence in which each term of the sequence is obtained by multiplying/dividing by a common value, called the common ratio, to the preceding term.

Given a sequence, we can determine whether the sequence is arithmetic, geometric, or neither by comparing the terms of the sequence. If each term of the sequence is obtained by adding/subtracting a common value to/from the preceding term, then the sequence is an arithmetic sequence. If each term of the sequence is obtained by multiplying the preceding term with or dividing the preceding term by a common value, then the sequence is a geometric sequence. If none of the two conditions were met, then the sequence is neither an arithmetic or a geometric sequence.

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Organized Videos:
✅ Sequences
youtube.com/playlist?list=PL0G-Nd0V5ZMqN_DryIGV…
✅Sequences | Learn About
youtube.com/playlist?list=PL0G-Nd0V5ZMpTZQCLT2R…
✅Determine The First Five Terms of The Arithmetic Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMr7lJ91ewE…
✅How to Write The Formula for a Arithmetic Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMqX0h0kFXv…
✅Find the nth Term of an Arithmetic Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpZTW9A9qe…
✅Find the First Five Terms of a Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMqnB_4ayZX…
✅How to Write The Formula for a Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpPTGj_Iwh…
✅Find the nth Term of a Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpQxNU0stx…
✅How to Determine Arithmetic or Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpwEKZO39M…
✅Find the First Five Terms of a Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMoyXC9kD0t…
✅How to Write The Formula for a Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMproBUfaSB…
✅Find the nth Term of a Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMrvW3Ueodw…
✅How to Simplify Factorials
youtube.com/playlist?list=PL0G-Nd0V5ZMroioDLDPD…
✅Recursive Sequences
youtube.com/playlist?list=PL0G-Nd0V5ZMrJ9Hkmzt2…
✅Prove the Sum by Induction
youtube.com/playlist?list=PL0G-Nd0V5ZMqJy9R9qZ2…
✅Find the Given Term of Binomial Expansion
youtube.com/playlist?list=PL0G-Nd0V5ZMoKHwZDFGY…
✅Binomial Expansion | Learn About
youtube.com/playlist?list=PL0G-Nd0V5ZMqwmtqHrtt…
✅How to Expand a Binomial
youtube.com/playlist?list=PL0G-Nd0V5ZMrFch_Q0B0…

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🎯Survive Math Class Checklist: Ten Steps to a Better Year: brianmclogan.com/email-capture-fdea604e-9ee8-43…

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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: freemathvideos.com/about-me/

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About this tutorial

Brian McLogan published this 2:06 video tutorial on November 11, 2013. It has been watched 175,685 times on YouTube.

Category
Education
Duration
2:06
Published
November 11, 2013
Views
175,685
Likes
2,729

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