[" 6.If "P(n)" is the statement ""2^(n)>=n"" ,prove that "P(r+1)" is "],[" true whenever "P(r)" is true."]

If P(n) is the statement ‘‘2^n ge n’’ , prove that P(r +1) is true whenever P(r) is true.

If P(n) is the statement ‘‘n^2 > 100” prove that P(r + 1) is true whenever P(r) is true.

If P(n) is the statement 2^(n)>=3n, and if P(r) is true,prove that P(r+1) is true.

If P(n) is the statement n^(3)+n is divisible by 3, prove that P(3) is true but P(4) is not true.

If P(n) is the statement ''2^(3n)-1 is an integral multiple of 7", prove that P(r + 1) is true whenever P(r) is true.

If P (n) is the statement n^2> 100" , prove that whenever P(r) is true, P(r+1) is also true.

If P(n) is the statement 2^ngeq3n , and if P(r) is true, prove that P(r+1) is true.

If P(n) is the statement n^(2)>100, prove that whenever P(r) is true,P(r+1) is also true.

If P(n) is the statement n^3+n is divisible by 3, prove that P(3) is true but P(4) is not true.

P (n) is the statement ''2^(n)>3n'' and if P(r) is true, then prove that P(r + 1) is also true, n in N.