Solve n-0.5n Sequence: Finding Position of Number 5

Given a formula with a constant property that depends on$n$:

$n-0.5n$

Is the number 5 Is it part of the series? If so, what element is it in the series?

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

• Step 1: Simplify the expression $n - 0.5n$.
• Step 2: Set up the equation for 5 using the simplified formula.
• Step 3: Solve for $n$.
• Step 4: Verify the solution.

Now, let's work through each step:
Step 1: Given the expression $n - 0.5n$, it simplifies to $0.5n$.
Step 2: Set up the equation $0.5n = 5$.
Step 3: Solve for $n$:
To find $n$, we multiply both sides of the equation by 2:
$n = 10$.
Step 4: Verification:
Substitute $n = 10$ back into the simplified formula: $0.5 \cdot 10 = 5$, which confirms that 5 is part of the sequence.

Therefore, the number 5 is indeed part of the sequence, and it corresponds to $n = 10$.

Yes, $10$