Numerical Pattern 0C6418

1. Let's consider the numerical pattern: $2, 4, 6, 8, 10, \ldots$ 2. Observe that each number increases by $2$ from the previous number. 3. The pattern suggests that the numbers are even numbers starting from $2$. 4. A conjecture based on this pattern is: "The $n$th term of the sequence is given by $$a_n = 2n$$, where $n$ is a positive integer." 5. This means every term in the sequence is twice its position number. 6. For example, the $5$th term is $2 \times 5 = 10$, which matches the pattern. 7. This conjecture can be tested by checking further terms in the sequence.