what is the unit digit of the following sum: 1+2^2+3^3+4^4+5^5+..........

• ans will be 3
  
• 9 years agoHelpfull: Yes(16) No(5)
• unit digs
  1=1
  2=4
  3=7
  4=6
  5=5
  6=6
  7=3
  8=6
  9=9
  so add all those you will get 7 as your answer
• 9 years agoHelpfull: Yes(6) No(3)
• ans is 5.
  5^5=3125
  4^4=256
  3^3=27
  2^2=8
  like every last will be with in the range of 0-9
  so add all last digit will get 5 as unit digit .
• 9 years agoHelpfull: Yes(4) No(3)
• ANSWER IS 3
  
  1= last digit is 1
  2^2= 4 last digit is 4
  3^3= 27 last digit is 7
  4^4= 256 last digit is 6
  5^5=3125 last digit is 5 ( in case of 5 or 6 the last digit always be 5 or 6)
  
  adding all last digit= 1+4+7+6+5 =23 so last digit is 3
  
  so the answer is 3.
• 7 years agoHelpfull: Yes(4) No(0)
• 1
  2^2=4
  1+4=5
  3^3=27
  take last num 7+5=12
  4^4=256
  2+4=6=8
  5^5=625
  8+5=13
  6^6=4356
  6+3=9 so ans in 9
  
  2+6=8
• 9 years agoHelpfull: Yes(3) No(6)
• 1+4+27+256+3125=3413..so the unit digit is 3. Is thr any shortcut method to find the unit digit?
• 9 years agoHelpfull: Yes(3) No(0)
• last digit of anything to power 6 is always 6=>1+4+7+6+5+6=29=>units digit is 9
• 8 years agoHelpfull: Yes(3) No(0)
• The answer will be 9.
• 9 years agoHelpfull: Yes(2) No(8)
• can any1 explain
  
• 9 years agoHelpfull: Yes(1) No(1)
• The answer is 1
• 9 years agoHelpfull: Yes(1) No(4)
• the aNSWER WILL BE 9. ADDING LAST DIGIT FROM ALL THE NUMBER WE WILL GET 9
• 6 years agoHelpfull: Yes(1) No(1)
• ans will be 5.
• 9 years agoHelpfull: Yes(0) No(5)
• ans may be 0
• 9 years agoHelpfull: Yes(0) No(1)