Examples of Convergent and Bounded
- Author:
- Nick Wasserman
Instructions
The dynamic activity contains 5 example sequences (change examples using the dropdown number in the top left-hand corner).
For boundedness: The 'n' slider will generate new terms in the sequence; the 'M' slider will generate the interval [-M,M]. Use these to determine if the example sequence is bounded.
For convergence: Input the 'a' value as a candidate for the sequence to converge to. The 'n' slider will generate new terms in the sequence - the 'last' value might be considered N; you can generate arbitrary values for randomly with the button, or with the '' slider.
Reflection Questions
1) Is every convergent sequence bounded? Why or why not? 2) Is every bounded sequence convergent? Why or why not?