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If the nth term of a sequence is given by n^2 + n, what is the 4th term? (2023)

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Question: If the nth term of a sequence is given by n^2 + n, what is the 4th term? (2023)

Options:

  1. 20
  2. 24
  3. 30
  4. 32

Correct Answer: 20

Exam Year: 2023

Solution: 

The 4th term is 4^2 + 4 = 16 + 4 = 20.

If the nth term of a sequence is given by n^2 + n, what is the 4th term? (2023)

Practice Questions

Q1
If the nth term of a sequence is given by n^2 + n, what is the 4th term? (2023)
  1. 20
  2. 24
  3. 30
  4. 32

Questions & Step-by-Step Solutions

If the nth term of a sequence is given by n^2 + n, what is the 4th term? (2023)
  • Step 1: Identify the formula for the nth term of the sequence, which is n^2 + n.
  • Step 2: Determine the value of n for the 4th term, which is n = 4.
  • Step 3: Substitute n = 4 into the formula: 4^2 + 4.
  • Step 4: Calculate 4^2, which is 16.
  • Step 5: Add 4 to 16: 16 + 4 = 20.
  • Step 6: Conclude that the 4th term is 20.
  • Quadratic Sequences – Understanding how to evaluate a quadratic expression to find specific terms in a sequence.
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