Chapter 11.6, Problem 51S

To determine

State whether the statement $3n+5$ is even is a true or false when n = 1

Answer to Problem 51S

True; $3·1+5=8$, which is even.

Explanation of Solution

Given:

State whether the statement $3n+5$ is even is a true or false when n = 1. Explain.

Concept Used:

Substitute n = 1 in the expression $3n+5$

Calculation:

Substitute n = 1 in the expression $3n+5$

  $3n+5\Rightarrow 3·1+5=8$

Since 8 is an even number, given statement is true for n = 1

Thus, it is a true statement.