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If a sequence is defined by a_n = 3n + 1, what is a_5?

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Question: If a sequence is defined by a_n = 3n + 1, what is a_5?

Options:

  1. 14
  2. 15
  3. 16
  4. 17

Correct Answer: 14

Solution: 

a_5 = 3(5) + 1 = 15 + 1 = 16.

If a sequence is defined by a_n = 3n + 1, what is a_5?

Practice Questions

Q1
If a sequence is defined by a_n = 3n + 1, what is a_5?
  1. 14
  2. 15
  3. 16
  4. 17

Questions & Step-by-Step Solutions

If a sequence is defined by a_n = 3n + 1, what is a_5?
Correct Answer: 16
  • Step 1: Identify the formula for the sequence, which is a_n = 3n + 1.
  • Step 2: Substitute n with 5 in the formula to find a_5. So, we have a_5 = 3(5) + 1.
  • Step 3: Calculate 3 times 5, which is 15.
  • Step 4: Add 1 to the result from Step 3. So, 15 + 1 equals 16.
  • Step 5: Therefore, a_5 is 16.
  • Sequence Evaluation – Understanding how to evaluate a sequence defined by a formula.
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