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Question 3 of 6
The limit is
Shannon McKiernan
This test: 6 point(s)
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This question: 1
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09/11/22 8:27 PM
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Two people pair up to create a sequence. Each of them pick five random digits from 1 to 9 (with repetitions, if they
wish). They merge their digits to make a list of ten. Now, each of them construct a different ten-digit number using
exactly the digits in the list. Let a₁ = the (positive) difference between the two numbers. Let an+1 = the sum of the
digits of an for n21. This sequence converges because it is eventually constant. What is the limit?
