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If a sequence is defined as a_n = 2n + 1, what is a_5?

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Question: If a sequence is defined as a_n = 2n + 1, what is a_5?

Options:

  1. 9
  2. 10
  3. 11
  4. 12

Correct Answer: 9

Solution:

a_5 = 2(5) + 1 = 10 + 1 = 11.

If a sequence is defined as a_n = 2n + 1, what is a_5?

Practice Questions

Q1
If a sequence is defined as a_n = 2n + 1, what is a_5?
  1. 9
  2. 10
  3. 11
  4. 12

Questions & Step-by-Step Solutions

If a sequence is defined as a_n = 2n + 1, what is a_5?
Correct Answer: 11
  • Step 1: Identify the formula for the sequence, which is a_n = 2n + 1.
  • 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 1 to the result from Step 3, which gives 10 + 1.
  • Step 5: The final result is 11, so a_5 = 11.
  • Sequence Evaluation – Understanding how to evaluate a sequence defined by a formula.
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