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Question 267390: unit digit of a sum
11^11 + 14^14 + 16^16 whats the unit digit of this sum
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! Look for patterns:
11^1 = 11
11^2 = 121
11^3 = 1331
I see the pattern of ending in 1.
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14^1 = 14
14^2 = 196
14^3 = 2744
when the power is odd it ends in 4, and when it is even it ends in 6.
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16^1 = 16
16^2 = 256
16^3 = 4096
The units digit is always 8.
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we get 1 + 6 + 6 = 13
The final units digit will be 3.
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