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If a sequence is defined as a_n = 3n + 2, what is a_4?

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Question: If a sequence is defined as a_n = 3n + 2, what is a_4?

Options:

  1. 10
  2. 14
  3. 12
  4. 8

Correct Answer: 14

Solution: 

a_4 = 3(4) + 2 = 12 + 2 = 14.

If a sequence is defined as a_n = 3n + 2, what is a_4?

Practice Questions

Q1
If a sequence is defined as a_n = 3n + 2, what is a_4?
  1. 10
  2. 14
  3. 12
  4. 8

Questions & Step-by-Step Solutions

If a sequence is defined as a_n = 3n + 2, what is a_4?
Correct Answer: 14
  • Step 1: Identify the formula for the sequence, which is a_n = 3n + 2.
  • Step 2: Substitute n with 4 in the formula to find a_4. So, we have a_4 = 3(4) + 2.
  • Step 3: Calculate 3 times 4, which is 12.
  • Step 4: Add 2 to the result from Step 3. So, 12 + 2 equals 14.
  • Step 5: Therefore, a_4 is 14.
  • Sequence Evaluation – Understanding how to evaluate a sequence defined by a formula.
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