Find the remainder.
posted by Ragib
- March 04 2011 10:28:40 PM
1^1+2^2+3^3+........+2010^10.find the remainder of the summation of the series if divided by 2.
Reply by Ragib
- March 05 2011 09:19:22 AM
Sorry.2010^2010
Reply by Caprico
- March 06 2011 12:31:50 AM
Ans: 1
Reasoning: Remainder of a number divided by 2 can be only 0 or 1. Its 1 when number is odd. The summation of the above series has 1005 odd numbers (an odd number raised to itself is also odd, and even number raised to itself is even), thus the sum will be odd. So remainder is 1.
Reasoning: Remainder of a number divided by 2 can be only 0 or 1. Its 1 when number is odd. The summation of the above series has 1005 odd numbers (an odd number raised to itself is also odd, and even number raised to itself is even), thus the sum will be odd. So remainder is 1.
Reply by Ragib
- March 06 2011 08:16:08 AM
R8 again.
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