Chapter 11.6, Problem 50S

To determine

State whether the statement $\frac{(n+1)(n+1)}{2}=2$ is true or false when n = 1.

Answer to Problem 50S

True; $\frac{(1+1)(1+1)}{2}=2$

Explanation of Solution

Given:

State whether the statement $\frac{(n+1)(n+1)}{2}=2$ is true or false when n = 1. Explain.

Concept Used:

Substitute n = 1 in the equation $\frac{(n+1)(n+1)}{2}=2$

Calculation:

Substitute n = 1 in the equation $\frac{(n+1)(n+1)}{2}=2$

  $\begin{array}{l}\frac{(n+1)(n+1)}{2}=2\\ \frac{(1+1)(1+1)}{2}=2\\ \frac{4}{2}=2\\ 2=2\text{True}\text{statement}\end{array}$

Thus, it is a true statement.