How to determine if a sequence is arithmetic or geometric

Описание: 👉 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
   • Sequences  
✅Sequences | Learn About
   • Sequences | Learn About  
✅Determine The First Five Terms of The Arithmetic Sequence
   • Determine The First Five Terms of The Arit...  
✅How to Write The Formula for a Arithmetic Sequence
   • How to Write The Formula for a Arithmetic ...  
✅Find the nth Term of an Arithmetic Sequence
   • Find the nth Term of an Arithmetic Sequence  
✅Find the First Five Terms of a Geometric Sequence
   • Find the First Five Terms of a Geometric S...  
✅How to Write The Formula for a Geometric Sequence
   • How to Write The Formula for a Geometric S...  
✅Find the nth Term of a Geometric Sequence
   • Find the nth Term of a Geometric Sequence  
✅How to Determine Arithmetic or Geometric Sequence
   • How to Determine Arithmetic or Geometric S...  
✅Find the First Five Terms of a Sequence
   • Find the First Five Terms of a Sequence  
✅How to Write The Formula for a Sequence
   • How to Write The Formula for a Sequence  
✅Find the nth Term of a Sequence
   • Find the nth Term of a Sequence  
✅How to Simplify Factorials
   • How to Simplify Factorials  
✅Recursive Sequences
   • Recursive Sequences  
✅Prove the Sum by Induction
   • Prove the Sum by Induction  
✅Find the Given Term of Binomial Expansion
   • Find the Given Term of Binomial Expansion  
✅Binomial Expansion | Learn About
   • Binomial Expansion | Learn About  
✅How to Expand a Binomial
   • How to Expand a Binomial  

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