Matlab project ( recursive sequence) -- 2

1)Create a recursive sequence and give an example of how it may occur in real life, where would this recursive sequence would apply. Why is interesting? Give initial values as well as a recursive formula for the sequence and explain why the formula works. IT CANNOT BE The Fibonacci Sequence. Create own example. 2)After that, write a matlab script in order to generate the first 20 terms of the sequence created on the first part. 3) Examine any patterns that you can find and make a statement about something that appears to be true for all 20 terms. Make a proposition, that this pattern will hold true for the first 100 terms. Write statement formally(using mathermatical notation). 4)Modify script to generate 100 terms of sequence. Write and annotate some MATLAB code to prove or disprove statements that holds true for the first 100 terms. TEST THE HYPOTHESIS(using relational operators) on matlab. If false, indicate counterexample 5) identify your proposition using formal mathematical notation. What type of proof or disproof took place on our results?