Your first cousin’s grandchild is your first cousin once removed. This means that there is a one-generation difference between you and your first cousin’s grandchild.

To understand this relationship, it is helpful to first understand what a first cousin is. Your first cousins are the children of your parents’ siblings. For example, if your father has a brother, that brother’s children are your first cousins. If your mother has a sister, her children are also your first cousins.
Now, let’s look at the grandchild of your first cousin. A grandchild is the child of your first cousin’s child. So, if your first cousin has a child named Sarah, and Sarah has a child named John, John is your first cousin’s grandchild.
Because John is one generation younger than your first cousin, he is your first cousin once removed. The term “once removed” indicates the generational difference between the two relatives. In other words, John is not your direct first cousin, but rather the child of your first cousin.
It is important to note that while the term “once removed” may sound confusing, it is simply a way to indicate the relationship between two relatives who are not in the same generation. For example, your first cousin once removed is not the same as your second cousin. Second cousins are people who share a great-grandparent, while first cousins once removed share a great-grandparent and are in different generations.
In summary, your first cousin’s grandchild is your first cousin once removed. This relationship indicates that there is a one-generation difference between you and your first cousin’s grandchild. While the terminology may seem confusing, it is simply a way to indicate the specific relationship between two relatives.