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Note: The digit sum of a number is the sum of all its digits. For example N=1123 has a digit sum of 1+1+2+3=7.
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N = \[(1+10^{0})+(1+10^{1})+(1+10^{2})....+(1+10^{345})\]
What is the digit sum of N?
Can u help me if you can't then I suggest you leave
\[(1+10^{0})+(1+10^{1})+(1+10^{2})....+(1+10^{345})\]\[=346 + (1+10+100+...+ x)\]Where x = a number start with 1 followed by 345 0's. \[= 346 + 111...1\]The second term is a number with 346 1's.
It shouldn't be difficult then.
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