DISCUSS A Recursively Defined Sequence Find the first terms of the sequence defined by
and . Do the same if . Make a conjecture about this type of sequence. Try several other values of , to test your conjecture.
A conjecture about the given sequence and verify it for different initial values of the sequence.
Generate the first terms using the initial data and definition of the sequence and observe if sequence follows any pattern for large values of .
There is given a table of sequence for the different initial values of .
We observe in the table above generated using excel for the sequence with different values of that the sequence converges to a repeating sequence:
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