Evaluate the Sequence: Finding the First Term in 6n² - 1

To solve this problem, we'll calculate the first term of the sequence defined by the rule $6n^2 - 1$:

• Step 1: Identify the position for the first term. By convention, this position is $n = 1$.
• Step 2: Substitute $n = 1$ into the formula $6n^2 - 1$:

Substitution and calculation:

For $n = 1$, the expression becomes $6(1)^2 - 1$.

Calculate $6(1)^2$: $6 \times 1 = 6$.

Subtract 1 from 6: $6 - 1 = 5$.

Therefore, the first term of the sequence is $\boxed{5}$.