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Question Make some more Collatz sequences like those above, starting with your favourite whole numbers. Do you always reach 1?
Collatz sequence starting with whole number 15 is as follows:
15,46,23,70,35,106,53,160,80, 40,20,10,5,16,8,4,2,1.
Collatz sequence starting with whole number 7 is as follows:
7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1.
3.9 Playing with Number Patterns Figure Out(Pages.no 69 – 70)
We shall do some simple estimates. It is a fun exercise, and you may find it amusing to know the various numbers around us. Remember, we are not interested in the exact numbers for the following questions. Share your methods of estimation with the class.