What is the next number in the sequence: 2, 4, 6, 8?

What is the next number in the sequence: 2, 4, 6, 8?

• A. 8
• B. 10
• C. 12
• D. 14

Answer: (B)

The sequence presented is an example of an arithmetic progression where each number is incremented by the same value. In this case, the difference between consecutive numbers is consistently 2. Starting from 2: - Adding 2 gives you 4, - Adding another 2 gives you 6, - Adding 2 again results in 8. Continuing this pattern, to find the next number after 8, you would again add 2. Therefore, 8 + 2 equals 10. This consistent increment demonstrates how the sequence progresses, confirming that the next number should indeed be 10, which reflects the clear linear growth inherent in the sequence. Each number is effectively generated by the previous number plus the same difference, showcasing the foundational concept of sequences in mathematics.

The sequence presented is an example of an arithmetic progression where each number is incremented by the same value. In this case, the difference between consecutive numbers is consistently 2.

Starting from 2:

• Adding 2 gives you 4,

• Adding another 2 gives you 6,

• Adding 2 again results in 8.

Continuing this pattern, to find the next number after 8, you would again add 2. Therefore, 8 + 2 equals 10. This consistent increment demonstrates how the sequence progresses, confirming that the next number should indeed be 10, which reflects the clear linear growth inherent in the sequence. Each number is effectively generated by the previous number plus the same difference, showcasing the foundational concept of sequences in mathematics.