Calculate Values: Finding Terms 10-12 in the Expression 5n-3

For the series 5n3 5n-3

Complete the equation with the numeric element 10 up to 12.

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Step-by-step video solution

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00:00 Find members 10,11,12 of the series
00:04 We'll substitute the appropriate member position in the series formula and solve
00:11 Substitute N = 10 in the series formula and solve to find the member
00:16 Always solve multiplication and division before addition and subtraction
00:27 This is the 10th member in the series
00:30 We'll use the same method to find members 11 and 12
00:34 Substitute N = 11 in the series formula and solve to find the member
00:44 This is the 11th member
00:50 Substitute N = 12 in the series formula and solve to find the member
01:08 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

For the series 5n3 5n-3

Complete the equation with the numeric element 10 up to 12.

2

Step-by-step solution

To solve this problem, we need to follow these steps:

  • Step 1: Substitute n=10 n = 10 into the sequence formula to find the term.
    Using the formula an=5n3 a_n = 5n - 3 , replace n n with 10:
    a10=5×103=503=47 a_{10} = 5 \times 10 - 3 = 50 - 3 = 47 .
  • Step 2: Substitute n=11 n = 11 into the sequence formula to find the term.
    Using the formula an=5n3 a_n = 5n - 3 , replace n n with 11:
    a11=5×113=553=52 a_{11} = 5 \times 11 - 3 = 55 - 3 = 52 .
  • Step 3: Substitute n=12 n = 12 into the sequence formula to find the term.
    Using the formula an=5n3 a_n = 5n - 3 , replace n n with 12:
    a12=5×123=603=57 a_{12} = 5 \times 12 - 3 = 60 - 3 = 57 .

Therefore, the sequence terms when n=10,11,12 n = 10, 11, 12 are: 57, 52, 47.

3

Final Answer

57 , 52 , 47

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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