SOLUTION: What is the common difference for the sequence : 4, 8/3, 16/9, 32/81, 64/6561

Question 1108687: What is the common difference for the sequence :
4, 8/3, 16/9, 32/81, 64/6561

Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
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What is the common difference for the sequence :
4, 8/3, 16/9, 32/81, 64/6561
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This sequence is a GEOMETRIC SEQUENCE.


The term "common difference" is NOT APPLICABLE to geometric sequences.


It is applicable for ARITHMETIC SEQUENCES only.


For geometric sequences the term "common ratio" is used instead.


The common ratio, by the definition, is the ratio of a consecutive term to the current term.

It has the same value for any two consecutive terms of a geometric progression.


In you case, take the ratio of any two consecutive terms, for example, the ratio  = .


It is your answer.

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See introductory lessons on geometric progressions in this site
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Geometric progressions".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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