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The Lucas numbers L_n are given by the recursion L_0=2, L_1=1 and L_n=L_n-1+L_n-2. Find the units digit of L_L_10.

 Sep 24, 2020
 #1
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Hello, anyone?

 Sep 25, 2020
 #2
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I checked by computer, and the last digit is 6.

 Sep 25, 2020
 #3
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See here: A000032 in the OEIS:  The First 10 Lucas' numbers are:

 

2, 1 , 3 , 4 , 7 , 11 , 18 , 29 , 47 , 76 

 Sep 25, 2020

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