Swapnil Saxena
Last Activity: 13 Years ago
The question is the largest prime no that divides f(n)
Lets simplify f(1)+f(2)+f(3)+f(4)+...+f(999)
= (1+2+3+4...+9)+1+(1+2+3+4+...+9)+2+2(1+2+3+4+...+9) +3+3(1+2+3+4+...+9) +...
On simpifying and using formula for summation of n natural no n(n+1)/2we get that the summation is
Full solution is not given as u needed hints fr the question
((9*10)/2+1)((9*10)/2+1)((9*10)/2+1) -1 = (46*46*46)-1 97335
On prime factorization os 97335 we getthe last prime as 103 and hence we said tht the largest prime tht devides