Sequence Expression 2n-1: Is 15 a Valid Element?

$2n-1$

Is the number 15 an element in the sequence above?

To determine if 15 is an element of the sequence defined by $2n - 1$, follow these steps:

• Step 1: Set the equation $2n - 1 = 15$.
• Step 2: Solve the equation for $n$.

Let's work through the solution:
Step 1: Start with the equation $2n - 1 = 15$.
Step 2: Add 1 to both sides of the equation to isolate the term with $n$:

$2n = 16$

Step 3: Divide both sides by 2 to solve for $n$:

$n = 8$

Since $n = 8$ is a positive integer, 15 is indeed part of the sequence described by $2n - 1$.

Therefore, the correct answer is Yes.