" (ix) "(1)/(5)n^(5)+(1)/(3)n^(3)+(1)/(15)*7n" is an integer."

If ninNN , then by princuple of mathematical induction prove that, (1)/(5)n^(5)+(1)/(3)n^(3)+(1)/(15)*7n is an integer.

For n in N,(1)/(5)n^(5)+(1)/(3)n^(3)+(7)/(15)n is

For all positive integer n, prove that (n^(7))/(7)+(n^(2))/(5)+(2)/(3)n^(3)-(n)/(105) is an integer

Show that the expression (n^5)/(5) + (n^3)/(3) + (7n)/(15) is a positive integer for all n in N .

For all positive integer n , prove that (n^7)/7+(n^5)/5+2/3n^3-n/(105) is an integer

Prove that (n^(5))/(5)+(n^(3))/(3)+(7n)/(15) is a natural number.

Show that (n^(5))/(5)+(n^(3))/(3)+(7n)/(15) is a natural number, for all n inN

Statement-1: 1 is a natual number. Statement-2: (n^(5))/(5)+(n^(3))/(3)+(6n)/(15) is a natural number for n in N .

Prove by the principle of mathematical induction that (n^(5))/(5)+(n^(3))/(3)+(7n)/(15) is a natural number for all n in N.