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If a sequence is defined by a_n = 2n + 3, what is a_5?

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Question: If a sequence is defined by a_n = 2n + 3, what is a_5?

Options:

  1. 10
  2. 11
  3. 13
  4. 15

Correct Answer: 13

Solution: 

a_5 = 2(5) + 3 = 13.

If a sequence is defined by a_n = 2n + 3, what is a_5?

Practice Questions

Q1
If a sequence is defined by a_n = 2n + 3, what is a_5?
  1. 10
  2. 11
  3. 13
  4. 15

Questions & Step-by-Step Solutions

If a sequence is defined by a_n = 2n + 3, what is a_5?
  • Step 1: Identify the formula for the sequence, which is a_n = 2n + 3.
  • Step 2: Substitute n with 5 in the formula to find a_5.
  • Step 3: Calculate 2 times 5, which is 10.
  • Step 4: Add 3 to the result from Step 3. So, 10 + 3 equals 13.
  • Step 5: Therefore, a_5 is 13.
  • Sequence Evaluation – Understanding how to evaluate a sequence defined by a formula.
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