Find the 7th Term in Sequence: 2(2n-2) Step-by-Step

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

$2(2n-2)$

What is the value of the 7th element in the sequence?

To determine the 7th element of the sequence defined by the rule $2(2n - 2)$, we follow these steps:

• Step 1: Identify the given formula for the sequence, which is $2(2n - 2)$.

• Step 2: Simplify this formula to its basic form. By expanding, we have: $2 \times (2n - 2) = 4n - 4.$

• Step 3: Substitute $n = 7$ into the simplified formula $4n - 4$.

• Step 4: Perform the calculation:
  $\begin{aligned} 4n - 4 &= 4 \times 7 - 4 \\ &= 28 - 4 \\ &= 24 \end{aligned}$

Thus, the 7th element of the sequence is $\boldsymbol{24}$.