Identify Even-Numbered Terms: Sequence Using 4n-3 to the Eighth Term

To solve this problem, we'll follow these steps:

• Step 1: Calculate terms of the sequence for even indices.
• Step 2: Select terms corresponding to the 2nd, 4th, 6th, and 8th positions.
• Step 3: Verify against multiple-choice options.

Now, let's work through each step:
Step 1: Use the formula $a_n = 4n - 3$.
- For $n = 2$, $a_2 = 4(2) - 3 = 8 - 3 = 5$.
- For $n = 4$, $a_4 = 4(4) - 3 = 16 - 3 = 13$.
- For $n = 6$, $a_6 = 4(6) - 3 = 24 - 3 = 21$.
- For $n = 8$, $a_8 = 4(8) - 3 = 32 - 3 = 29$.

Step 2: The sequence terms at even positions up to the 8th position are 5, 13, 21, and 29.

Step 3: Compare these with the given choices. The option matching our result is choice 4: $5, 13, 21, 29$.

Therefore, the correct terms occupying the even-numbered places are 5, 13, 21, 29.