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What is the 8th term of the sequence defined by a_n = 3n - 2?

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Question: What is the 8th term of the sequence defined by a_n = 3n - 2?

Options:

  1. 22
  2. 24
  3. 26
  4. 28

Correct Answer: 22

Solution: 

Substituting n = 8 into the formula: a_8 = 3(8) - 2 = 24 - 2 = 22.

What is the 8th term of the sequence defined by a_n = 3n - 2?

Practice Questions

Q1
What is the 8th term of the sequence defined by a_n = 3n - 2?
  1. 22
  2. 24
  3. 26
  4. 28

Questions & Step-by-Step Solutions

What is the 8th term of the sequence defined by a_n = 3n - 2?
  • Step 1: Identify the formula for the sequence, which is a_n = 3n - 2.
  • Step 2: Determine the value of n for the 8th term, which is n = 8.
  • Step 3: Substitute n = 8 into the formula: a_8 = 3(8) - 2.
  • Step 4: Calculate 3 times 8, which is 24.
  • Step 5: Subtract 2 from 24, which gives you 22.
  • Step 6: Conclude that the 8th term of the sequence is 22.
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