Calculate the 11th Term: Sequence Defined by 4n-2

Below is the term-to-term rule for a sequence written in terms of n n :

4n2 4n-2

What is the value of the 11th element in the sequence?

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Step-by-step video solution

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00:00 Found the 11th member in the sequence
00:03 The desired member location according to the data
00:09 We'll substitute the appropriate location in the formula and solve for finding the member
00:13 Always solve multiplication and division before addition and subtraction
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Below is the term-to-term rule for a sequence written in terms of n n :

4n2 4n-2

What is the value of the 11th element in the sequence?

2

Step-by-step solution

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

  • Step 1: Identify the sequence formula and the term number needed.
  • Step 2: Substitute the term number into the sequence formula.
  • Step 3: Perform calculations to get the resultant value.

Now, let's work through each step:
Step 1: The sequence formula is given as 4n2 4n - 2 , and we need the 11th term, so n=11 n = 11 .
Step 2: Substitute n=11 n = 11 into the sequence formula:

4n2=4(11)2 4n - 2 = 4(11) - 2

Step 3: Perform the calculation:

4(11)=44 4(11) = 44 .

Then subtract 2 to get 442=42 44 - 2 = 42 .

Therefore, the value of the 11th element in the sequence is 42 42 .

3

Final Answer

42 42

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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