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For an integer n, consider the open sentences P(n) : n(n + 1)(2n + 1)/6 is even. Q(n)

Chapter 1, Problem 10

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QUESTION:

For an integer n, consider the open sentences P(n) : n(n + 1)(2n + 1)/6 is even. Q(n) : (n + 1)2(n + 2)2/4 is even. Determine whether the biconditionals P(1) Q(1) and P(2) Q(2) are true or false. 1

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QUESTION:

For an integer n, consider the open sentences P(n) : n(n + 1)(2n + 1)/6 is even. Q(n) : (n + 1)2(n + 2)2/4 is even. Determine whether the biconditionals P(1) Q(1) and P(2) Q(2) are true or false. 1

ANSWER:

Step 1 of 5

The truth table for the biconditional of two variables   and   is given below. The true value is denoted by T and the false value is denoted by F.

 

F

F

T

F

T

F

T

F

F

T

T

T

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