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Can you help me fill in the blanks in the following statements?

The recursive routine is described by stating the ________________ value and the _________ that is performed to get to the next term.  The ratio between the quantities is ______________.

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Patrick M. | High Altitude, High AchievementHigh Altitude, High Achievement
5.0 5.0 (1283 lesson ratings) (1283)
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Recursive Sequences take the previous term, and in some way modify it to calculate the next term. Wash, rinse, repeat.
 
previous value, operation (or algorithm)
David W. | Experienced ProfExperienced Prof
4.4 4.4 (44 lesson ratings) (44)
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The recursive routine is described by stating the ___initial___ value and the __rule__ that is performed to get to the next term.  The ratio between the quantities is _the common ratio_.
Mark M. | Mathematics Teacher - NCLB Highly QualifiedMathematics Teacher - NCLB Highly Qualif...
5.0 5.0 (143 lesson ratings) (143)
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The ratio between the quantities is: an+1 / an