Using the principle of mathematical induction, prove that `n<2^n` for all n`in`N

Using the principle of mathematical induction , prove that for n in N , 41^(n) - 14^(n) is a multiple of 27.

Using the principle of mathematical induction, prove that (7^(n)-3^(n)) is divisible by 4 for all n in N .

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in Ndot

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in Ndot

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in Ndot

Using the principle of mathematical induction , prove that for n in N , (1)/(n+1) + (1)/(n+2) + (1)/(n+3) + "……." + (1)/(3n+1) gt 1 .