Truth value of Tn 2n 1 SolutionTRUE The given statement is

Solution

TRUE

The given statement is true for all the that are greater than or equal to 1. for example

for n=1:

2⁽¹⁺¹⁾<1+(1+1)2¹

2²<1+(2)2

4<1+4

4<5 , which is true

for n=5:

2⁽⁵⁺¹⁾<1+(5+1)2⁵  

2⁶<1+(6)32

64<1+192

64<193, which is true

Similarly we can check for any rendom integer greater than or equal to 1, and we find that the statement T(n) is true for all.