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

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Question: In a sequence defined by 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: 

a_7 = 3(7) + 1 = 21 + 1 = 22.

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

Practice Questions

Q1
In a sequence defined by 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

In a sequence defined by 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: Substitute n with 7 in the formula to find a_7.
  • Step 3: Calculate 3 times 7, which is 21.
  • Step 4: Add 1 to the result from Step 3. So, 21 + 1 equals 22.
  • Step 5: Conclude that a_7 is equal to 22.
  • Sequence Evaluation – Understanding how to evaluate a term in a linear sequence defined by a formula.
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