Property 8 For every natural number n ,`(n+1)^2 - n^2 = (n+1) + n`

For every natural number n, 3^(2n+2) - 8n -9 is divisible by

For natural number n , 2^n (n-1)!lt n^n , if

Statement -1 : For every natural number n ge 2, (1)/( sqrt1) + (1)/( sqrt2) + (1)/( sqrt3) + … + (1)/( sqrtn) gt sqrtn . Statement - 2 : For every natural number n ge 2, sqrt(n(n+1) ) lt n+1

For every natural number n, 3 ^(2n+2)-8n -9 is divisible by 8

Statement-1: For every natural number n ge 2, (1)/(sqrt1)+(1)/(sqrt2)+…..(1)/(sqrtn) gt sqrtn Statement-2: For every natural number n ge 2, sqrt(n(n+1) lt n+1