Look at a sequence of numbers (e.g., 42, 44, 46, 48, ...). Can you identify the pattern? What would be the next four numbers in the sequence?

Break Down the Problem

1. Identify the existing sequence of numbers: 42, 44, 46, 48.
2. Determine the pattern in the sequence.
3. Predict the next four numbers based on the identified pattern.

Relevant Concepts

1. The concept of arithmetic sequences, where each term after the first is generated by adding a constant difference.

Analysis and Detail

1. The given sequence starts at 42.
2. Each subsequent number is obtained by adding 2 to the previous number:
   • 42 + 2 = 44
   • 44 + 2 = 46
   • 46 + 2 = 48
3. The constant difference (2) is consistent across the sequence.

Verify and Summarize

1. To find the next four numbers, continue adding 2:
   • Next number: 48 + 2 = 50
   • Next number: 50 + 2 = 52
   • Next number: 52 + 2 = 54
   • Next number: 54 + 2 = 56

Final Answer

The next four numbers in the sequence are 50, 52, 54, and 56.