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In a sequence defined by a_n = 3n + 2, what is the value of a_7? (2023)

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Question: In a sequence defined by a_n = 3n + 2, what is the value of a_7? (2023)

Options:

  1. 23
  2. 20
  3. 19
  4. 21

Correct Answer: 23

Exam Year: 2023

Solution: 

Substituting n = 7 into the formula gives a_7 = 3(7) + 2 = 21 + 2 = 23.

In a sequence defined by a_n = 3n + 2, what is the value of a_7? (2023)

Practice Questions

Q1
In a sequence defined by a_n = 3n + 2, what is the value of a_7? (2023)
  1. 23
  2. 20
  3. 19
  4. 21

Questions & Step-by-Step Solutions

In a sequence defined by a_n = 3n + 2, what is the value of a_7? (2023)
  • Step 1: Identify the formula for the sequence, which is a_n = 3n + 2.
  • 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) + 2.
  • Step 4: Calculate 3 times 7, which is 21.
  • Step 5: Add 2 to the result from Step 4: 21 + 2 = 23.
  • Step 6: Conclude that the value of a_7 is 23.
  • Sequence Evaluation – Understanding how to evaluate a term in a sequence defined by a formula.
  • Substitution – The process of replacing a variable with a specific value in an equation.
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