Answer and Step-by-step explanation:
The word, "Consecutive" means, "Back-to-back" or "One after the other." Therefore, consider these integers:
1, 2, 3, 4, 5, 6, 7, 8, . . .
If we write down these integers in such a way that only even integers follow back-to-back, we have:
2, 4, 6, 8, . . .
If we write down these integers in such a way that only odd integers follow back-to-back, we have:
1, 3, 5, 7, . . .
Since 2, 4, 6, 8, . . . Are all even integers that follow back-to-back, then this is known of consecutive even integers.
Since 1, 3, 5, 7, . . . Are all odd integers that follow back-to-back, then this is known of consecutive odd integers.
