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If a sequence is defined by a_n = 2n + 1, what is a_4?

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Question: If a sequence is defined by a_n = 2n + 1, what is a_4?

Options:

  1. 7
  2. 8
  3. 9
  4. 10

Correct Answer: 7

Solution: 

a_4 = 2(4) + 1 = 8 + 1 = 9.

If a sequence is defined by a_n = 2n + 1, what is a_4?

Practice Questions

Q1
If a sequence is defined by a_n = 2n + 1, what is a_4?
  1. 7
  2. 8
  3. 9
  4. 10

Questions & Step-by-Step Solutions

If a sequence is defined by a_n = 2n + 1, what is a_4?
Correct Answer: 9
  • Step 1: Identify the formula for the sequence, which is a_n = 2n + 1.
  • Step 2: Substitute n with 4 in the formula to find a_4. So, we have a_4 = 2(4) + 1.
  • Step 3: Calculate 2 times 4, which is 8.
  • Step 4: Add 1 to the result from Step 3. So, 8 + 1 equals 9.
  • Step 5: Therefore, a_4 is 9.
  • Sequence Evaluation – Understanding how to evaluate a sequence defined by a formula.
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