Question

Let n be the middle number of three consecutive Integers. Write an expression for the sum of these Integers.

Answer 1

• 3n

Explanation:

We know that:

• n is the middle number of the three consecutive numbers.
• The three consecutive numbers can be represented as n - 1, n, n + 1.

Solution:

• => x + n + y (n = middle number)
• => n - 1 + n + n + 1 (n = middle number)
• => 3n

Hence, the sum of the three consecutive numbers is 3n.

Answer 2

Consecutive integers are those that occur one after the other. Let's use 2, 3, 4 as an example.

The middle number is 3 (n). To get to 2 from 3, we need to subtract 1 (n - 1). To get to 4 from 3, we need to add 1 (n + 1).

Now that we understand how to get to each number from the middle number, we can create our expression.

(n - 1) + n + (n + 1)

(n + n + n) + (1 - 1)

3n + 0

Answer: 3n

Hope this helps!