Calculate 2(n+4): Finding the 9th Element in a Linear Sequence

Below is the rule for a sequence written in terms of $n$:

$2(n+4)$

Work out the value of the 9th element in the sequence.

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

• Step 1: Understand the sequence rule and identify the variable $n$.
• Step 2: Substitute the value of $n$ into the sequence formula.
• Step 3: Calculate the value of the expression obtained.

Let's work through them:
Step 1: The sequence is defined by the rule $2(n+4)$. Here, $n$ is the position in the sequence since we are asked for the 9th element, $n = 9$.
Step 2: Substitute $n = 9$ into the expression, which gives us $2(9+4)$.
Step 3: Calculate $9 + 4$ to get 13. Then multiply by 2 to obtain $2 \times 13 = 26$.

Thus, the value of the 9th element in the sequence is $26$.