Does the sequence converge? If so, what is the limit?
Hints/Solution:
Comments:
Note: (3,6) converges to 5. (1,10) converges to 7.
Can a spreadsheet help? Try an Excel
file.
Extensions/Variations:
Replace the recursive definition by the Geometric Mean (where
both of the seed values are positive numbers).
Replace the recursive definition by the Harmonic Mean (where both
of the seed values are positive numbers).
Replace the recursive definition by the Arithmetic Mean of THREE
numbers. Explore.
References:
Back to the EMAT
6600 Page.