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What is the 5th term of the arithmetic sequence 2, 5, 8, ...?

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Question: What is the 5th term of the arithmetic sequence 2, 5, 8, ...?

Options:

  1. 11
  2. 14
  3. 17
  4. 20

Correct Answer: 14

Solution: 

The common difference is 3; the 5th term is 2 + 4*3 = 14.

What is the 5th term of the arithmetic sequence 2, 5, 8, ...?

Practice Questions

Q1
What is the 5th term of the arithmetic sequence 2, 5, 8, ...?
  1. 11
  2. 14
  3. 17
  4. 20

Questions & Step-by-Step Solutions

What is the 5th term of the arithmetic sequence 2, 5, 8, ...?
Correct Answer: 14
  • Step 1: Identify the first term of the sequence. The first term is 2.
  • Step 2: Identify the common difference. To find the common difference, subtract the first term from the second term: 5 - 2 = 3.
  • Step 3: Use the formula for the nth term of an arithmetic sequence, which is: nth term = first term + (n - 1) * common difference.
  • Step 4: Plug in the values to find the 5th term. Here, n = 5, first term = 2, and common difference = 3.
  • Step 5: Calculate the 5th term: 5th term = 2 + (5 - 1) * 3 = 2 + 4 * 3.
  • Step 6: Simplify the calculation: 4 * 3 = 12, so 2 + 12 = 14.
  • Step 7: Therefore, the 5th term of the sequence is 14.
  • Arithmetic Sequence – An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
  • Common Difference – The common difference is the fixed amount added to each term to get to the next term in the sequence.
  • Term Calculation – The nth term of an arithmetic sequence can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.
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