In what circumstances might population growth lead to an increase in GDP per capita?

Population growth might lead to growth in GDP per capita when skilled foreign workers immigrate to the country because they improve labour productivity.

Population growth will lead to growth because the capital to labourratio increases, resulting in an increase in labour productivity.

Population growth will never lead to an increase in GDP per capita.

Population growth might lead to growth in GDP per capita because the size of the labour force could increase.

Population growth always leads to growth in GDP per capita because there is an increase in the size of the labour force.