Assumptions at each generation (in this example):

• Each female lays 300 eggs
• All of the offspring survive.
• Half of the offspring are female

First Generation (children):
Offspring in the first generation will be the children of the original monarch.

• 1 female x 300 eggs = 300 children
• 150 of the offspring are females

Second Generation (grandchildren):
Offspring in the second generation will be the grandchildren of the original monarch.

• 150 females x 300 eggs = 45,000 grandchildren
• 22,500 of the offspring are females

Third Generation (great-grandchildren):
Offspring in the third generation will be the great-grandchildren of the original monarch.

• 22,500 females x 300 eggs = 6,750,000 great-grandchildren
• 3,375,000 of the offspring are females

Fourth Generation (great-great-grandchildren):
Offspring in the fourth generation will be the great-great-grandchildren of the original monarch.

• 3,375,000 females x 300 eggs = 1,012,500,000 great-great-grandchildren