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In a sequence where the nth term is given by n^2 + 2n, what is the 6th term?

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Question: In a sequence where the nth term is given by n^2 + 2n, what is the 6th term?

Options:

  1. 48
  2. 50
  3. 52
  4. 54

Correct Answer: 48

Solution: 

Substituting n = 6 into the formula: a_6 = 6^2 + 2(6) = 36 + 12 = 48.

In a sequence where the nth term is given by n^2 + 2n, what is the 6th term?

Practice Questions

Q1
In a sequence where the nth term is given by n^2 + 2n, what is the 6th term?
  1. 48
  2. 50
  3. 52
  4. 54

Questions & Step-by-Step Solutions

In a sequence where the nth term is given by n^2 + 2n, what is the 6th term?
  • Step 1: Identify the formula for the nth term, which is n^2 + 2n.
  • 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 + 2(6).
  • Step 4: Calculate 6^2, which is 36.
  • Step 5: Calculate 2(6), which is 12.
  • Step 6: Add the results from Step 4 and Step 5: 36 + 12 = 48.
  • Step 7: Conclude that the 6th term is 48.
  • Quadratic Sequences – Understanding how to evaluate a quadratic expression for a specific term in a sequence.
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