Calculate the 5th Element Using the Term-to-Term Rule: 2n + 2

Question

A sequence has the following term-to-term rule:

$2n+2$

What is the value of the 5th element in the sequence?

00:00 Find the 5th term in the sequence

00:03 Location of the desired term according to the given data

00:11 Insert the appropriate position in the formula and solve to find the term

00:16 Always solve multiplication and division before addition and subtraction

00:23 And this is the solution to the question

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

Now, let's work through each step:
Step 1: With the term-to-term rule given as $2n + 2$ , we substitute $n = 5$ .
$a_5 = 2(5) + 2$

Step 2: Perform the calculations:
$a_5 = 10 + 2 = 12$

Therefore, the value of the 5th element in the sequence is $12$ .

$12$