+0  
 
0
1100
3
avatar+117 

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
avatar+117 
-1

Hello, anyone?

 Sep 25, 2020
 #2
avatar
-1

I checked by computer, and the last digit is 6.

 Sep 25, 2020
 #3
avatar
0

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

1 Online Users