Ex 12: The smallest of five consecutive integers is represent by y-3. What is the largest of these integers, in terms of y?
please explain and show work.
add 1 for each successive integer. So, what is
y-3 + 1+1+1+1 ?
To find the largest of the five consecutive integers in terms of y, we need to understand the relationship between the integers.
Let's denote the smallest integer as y-3. Since the consecutive integers are being referred to, the next integer would be the smallest one plus one. The subsequent integers would also be obtained by adding one to the previous integer.
Therefore, the five consecutive integers can be represented as:
1. Smallest integer: y-3
2. Second integer: (y-3) + 1 = y-2
3. Third integer: (y-3) + 1 + 1 = y-1
4. Fourth integer: (y-3) + 1 + 1 + 1 = y
5. Largest integer: (y-3) + 1 + 1 + 1 + 1 = y+1
So, the largest of the five consecutive integers in terms of y is y+1.