Is 30 a Term in the Sequence Defined by 6n?

A sequence has a rule of $6n$.

Is the number 30 a term in the sequence?

To solve this problem, we'll follow these steps:

• Step 1: Use the sequence rule to form the equation $6n = 30$.
• Step 2: Solve the equation for $n$.
• Step 3: Determine if the solution is a positive integer and identify the term position.

Now, let's work through each step:
Step 1: Set up the equation using the rule of the sequence: $6n = 30$.
Step 2: Solve for $n$ by dividing both sides by 6:
$n = \frac{30}{6} = 5$.
Step 3: Since $n = 5$ is a positive integer, 30 is a term in the sequence, specifically the fifth term.

Therefore, the solution to the problem is Yes, it is the fifth term.