Determine how many of the first 5 statements in the sequence obtainable from the given statement are true.
-$n ^ { 2 } + 2 n + 1$ is a perfect square.
A) 4
B) 2
C) 3
D) 5

Question

Quizplus · Accepted Answer

The given expression $n^2 + 2n + 1$ can be factored as $(n + 1)^2$, which is always a perfect square for any integer value of $n$. Therefore, for the first 5 statements or any number of statements generated by substituting integer values for $n$, the resulting expression will always be a perfect square.

Determine How Many of the First 5 Statements in the Sequence