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If a sequence is defined by a_n = 3n + 1, what is a_4?

Practice Questions

Q1
If a sequence is defined by a_n = 3n + 1, what is a_4?
  1. 10
  2. 11
  3. 12
  4. 13

Questions & Step-by-Step Solutions

If a sequence is defined by a_n = 3n + 1, what is a_4?
Correct Answer: 13
  • Step 1: Identify the formula for the sequence, which is a_n = 3n + 1.
  • Step 2: Determine the value of n we need to use. In this case, n = 4.
  • Step 3: Substitute n = 4 into the formula: a_4 = 3(4) + 1.
  • Step 4: Calculate 3 times 4, which is 12.
  • Step 5: Add 1 to the result from Step 4: 12 + 1 = 13.
  • Step 6: Conclude that a_4 = 13.
  • Sequence Evaluation – Understanding how to evaluate a sequence defined by a formula.
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