Transcription of Recursive Sequences - Mathematics
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chapter 1 Recursive SequencesWe have described a sequence in at least two different ways: a list of real numbers where there is a first number, a second number, and so on. Weare interested in infinite Sequences , so our lists do not end. Examples aref1; 2; 3; 4; 5; 6; : : :gorf2; 4; 8; 8; 8; 8; 8; 8; 16; : : :g. The Sequences we saw in the last section we were usu-ally able to describe by some formula. This is not always the case. afunctionaWN!Rwhere we denoted the output One example wouldbeanDn. Others areanD2n,anD1=n.
Chapter 1 Recursive Sequences We have described a sequence in at least two different ways: a list of real numbers where there is a first number, a second number, and so on.
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