Suppose that the truth value of the proposition pi is T whenever i is an odd positive integer and is F whenever i is an even positive integer. Find the truth values of

Step1

Given that

Assume that the truth value of the proposition pi is T whenever i is an odd positive integer and is F whenever i is an even positive integer.

Step2

We have to find the truth values of

Step3

We have

The truth value of the proposition pi is T whenever i is an odd positive integer and is F whenever i is an even positive integer.

From the given statement for all value of 1,3,5,7 …..

is T

And for all value of 2,4,6,8……

is F

We know that

Using this

= (100...