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

Name: Video Solution: Calculate the 5th Element Using the Term-to-Term Rule: 2n + 2
Description: Step-by-step video solution

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

$2n+2$

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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

Step-by-step written solution

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Understand the problem

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

$2n+2$

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

Step-by-step solution

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

Step 1: Substitute the position number into the sequence rule.
Step 2: Simplify the expression to find the specific term's value.

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 $12$ .

Final Answer

$12$

Practice Quiz

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Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

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

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Practice Quiz

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