Calculate the Seventh Term in the Linear Sequence: 4n - 10

4n10 4n-10

What is the seventh term in the sequence above?

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00:00 Find the 7th term
00:03 Substitute the appropriate term position in the formula and solve
00:19 Always solve multiplication and division before addition and subtraction
00:27 And this is the solution to the question

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1

Understand the problem

4n10 4n-10

What is the seventh term in the sequence above?

2

Step-by-step solution

To solve for the seventh term in the sequence defined by 4n10 4n - 10 , we can follow these steps:

  • Step 1: Identify the formula for the sequence: an=4n10 a_n = 4n - 10 .
  • Step 2: Since we need the seventh term, set n=7 n = 7 .
  • Step 3: Substitute n=7 n = 7 into the formula:

a7=4(7)10 a_7 = 4(7) - 10

Step 4: Calculate 4×7=28 4 \times 7 = 28 .

Step 5: Subtract 10 from 28:

a7=2810=18 a_7 = 28 - 10 = 18

Therefore, the seventh term in the sequence is 18\mathbf{18}.

3

Final Answer

18

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

18 , 22 , 26 , 30

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