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What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)

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Question: What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)

Options:

  1. 36
  2. 42
  3. 30
  4. 24

Correct Answer: 42

Exam Year: 2023

Solution: 

For n = 6, a_6 = 6^2 + 6 = 36 + 6 = 42.

What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)

Practice Questions

Q1
What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)
  1. 36
  2. 42
  3. 30
  4. 24

Questions & Step-by-Step Solutions

What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)
  • Step 1: Identify the formula for the sequence, which is a_n = n^2 + n.
  • Step 2: Determine the value of n for the 6th term, which is n = 6.
  • Step 3: Substitute n = 6 into the formula: a_6 = 6^2 + 6.
  • Step 4: Calculate 6^2, which is 36.
  • Step 5: Add 6 to 36: 36 + 6 = 42.
  • Step 6: Conclude that the 6th term of the sequence is 42.
  • Quadratic Sequences – Understanding how to evaluate a quadratic expression for a given integer value.
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