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What is the 5th term of the sequence defined by a_n = 2n^2 + 3n - 1?

Practice Questions

Q1
What is the 5th term of the sequence defined by a_n = 2n^2 + 3n - 1?
  1. 45
  2. 47
  3. 49
  4. 51

Questions & Step-by-Step Solutions

What is the 5th term of the sequence defined by a_n = 2n^2 + 3n - 1?
  • Step 1: Identify the formula for the sequence, which is a_n = 2n^2 + 3n - 1.
  • Step 2: Determine which term you need to find. In this case, we need the 5th term, so set n = 5.
  • Step 3: Substitute n = 5 into the formula: a_5 = 2(5^2) + 3(5) - 1.
  • Step 4: Calculate 5^2, which is 25.
  • Step 5: Multiply 25 by 2: 2 * 25 = 50.
  • Step 6: Calculate 3 * 5, which is 15.
  • Step 7: Now combine the results: a_5 = 50 + 15 - 1.
  • Step 8: Add 50 and 15 to get 65.
  • Step 9: Subtract 1 from 65 to get the final result: 65 - 1 = 64.
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