Question

Regardless of whether we have consecutive even integers or consecutive odd integers, to get from one to another you add what number? If n represents the first in a list of consecutive even (or odd ) integers, write out the next three terms.

Answer 1

To move from one consecutive even or odd integer to the next, you add 2. For a number n as the first in the series, the next three would be n + 2, n + 4, and n + 6.

Step-by-step explanation:

To transition from one consecutive even integer to another or from one consecutive odd integer to the next, you always add 2. This is because both even and odd numbers follow a specific pattern, with even numbers being divisible by 2 and odd numbers being consecutive integers not divisible by 2. So, for example, if n represents the first in a series of either consecutive even or odd integers, the next three terms would be expressed as n + 2, n + 4, and n + 6.