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! .
 =  , 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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