What is the 5th term of the arithmetic sequence 3, 7, 11, ...?

Practice Questions

Q1
What is the 5th term of the arithmetic sequence 3, 7, 11, ...?
  1. 15
  2. 19
  3. 23
  4. 27

Questions & Step-by-Step Solutions

What is the 5th term of the arithmetic sequence 3, 7, 11, ...?
Correct Answer: 19
  • Step 1: Identify the first term of the sequence. The first term is 3.
  • Step 2: Identify the second term of the sequence. The second term is 7.
  • Step 3: Calculate the common difference by subtracting the first term from the second term: 7 - 3 = 4.
  • Step 4: Use the common difference to find the 5th term. The formula for the nth term in an arithmetic sequence is: first term + (n - 1) * common difference.
  • Step 5: Plug in the values: first term (3) + (5 - 1) * common difference (4).
  • Step 6: Calculate: 3 + 4 * 4 = 3 + 16 = 19.
  • Step 7: The 5th term of the sequence is 19.
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