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If a sequence is defined as a_n = 3n + 1, what is the value of a_7? (2023)

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Question: If a sequence is defined as a_n = 3n + 1, what is the value of a_7? (2023)

Options:

  1. 22
  2. 21
  3. 20
  4. 19

Correct Answer: 22

Exam Year: 2023

Solution: 

Substituting n = 7 into the formula gives a_7 = 3(7) + 1 = 21 + 1 = 22.

If a sequence is defined as a_n = 3n + 1, what is the value of a_7? (2023)

Practice Questions

Q1
If a sequence is defined as a_n = 3n + 1, what is the value of a_7? (2023)
  1. 22
  2. 21
  3. 20
  4. 19

Questions & Step-by-Step Solutions

If a sequence is defined as a_n = 3n + 1, what is the value of a_7? (2023)
  • 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 = 7.
  • Step 3: Substitute n = 7 into the formula: a_7 = 3(7) + 1.
  • Step 4: Calculate 3 times 7, which is 21.
  • Step 5: Add 1 to the result from Step 4: 21 + 1 = 22.
  • Step 6: Conclude that the value of a_7 is 22.
  • Sequence Evaluation – The question tests the ability to evaluate a mathematical sequence defined by a formula.
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