For all `n in N, n^(4)` is less than

The observed bond length of N_(2)^(+) is larger than N_(2) while the bond length in NO^(+) is less than in NO. Why ?

Evaluate sum_(i=0)^(n)sum_(j=0)^(n)sum_(k=0)^(n)((n),(i))((n),(j))((n),(k)), where((n),(r))=""^(n)C_(r) : (a) is less than 500 if n = 3 (b) is greater than 600 if n = 3 (c) is less than 5000 if n = 4 (d) is greater than 4000 if n = 4

For all n in N , 4^(n)-3n-1 is divisible by

For all n in N,2^(4n)-15n-1 is divisible by

For all n in N , 4^(n)-3n-1 is divisible by

The number of term is the expansion of (a + b)^(n) , where n in N , is one less than the power n