SOLUTION: Write down a recursive definition of the geometric sequence that has 1st term a and common ratio r.

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Question 1091274: Write down a recursive definition of the geometric sequence that has 1st term a and common ratio r.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
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 = ,  n = 1, 2, 3, . . . 

      It is recursive definition of the geometric progression.


 = ,  n = 2, 3, 4, . . . 

     It is the general formula  for the n-th term of a GP that has  1st term "a" and common ratio r.


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You question is not precisely correct . . .


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On geometric progressions, see the lessons in this site
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
    - One characteristic property of geometric progressions
    - Solved problems on geometric progressions
    - Fresh, sweet and crispy problem on arithmetic and geometric progressions
    - Mathematical induction and geometric progressions
    - Mathematical induction for sequences other than arithmetic or geometric


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".



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