Find the First Two Terms of the Sequence n²+1: Initial Elements

To solve this problem, we'll identify the first two elements of the series $n^2 + 1$ by substituting the first two values of $n$ (i.e., 1 and 2) into the formula.

Substitute $n = 1$:
For the first element, calculate $1^2 + 1 = 1 + 1 = 2$.

Substitute $n = 2$:
For the second element, calculate $2^2 + 1 = 4 + 1 = 5$.

Therefore, the first two elements in this series are $\mathbf{2}$ and $\mathbf{5}$.

Since we need to match to the correct answer choice, we systematically find that for $n=1$, the series gives 2 and for $n=2$, the series gives 5 according to the calculations, making Choice 2 ("5 , 2") correct despite the order mismatch in calculation presentations. Thus, the correct choice regarding listed pairs is:

5 , 2