If and are the least positive integers such that for all n N, n^3+ n is divisible by 3 and n^3- n is divisible by 6 , then + =

Step-by-step solution

If for all n N, n^3+ n is divisible by 3 , then for n=1 also it is divisible by 3 , so the least positive integral value of =2 And, since for all n N, n^3- n is divisible by 6 , then for n=1 also it is divisible by 6 , so the least positive integral value of =1 . So, + =2+1=3 . Hence, option (b) is correct.