In the geometric growth pattern, both the progenies of the divided cell participate in the next division cycle. Exponential growth phase is observed in this pattern. The graph in geometric growth is a typical sigmoid curve whereas in arithmetic growth the graph is a straight line.

Binary fission is a type of asexual mode of reproduction where the cell divides in two to form two new identical daughter cells. It is the most common form of reproduction observed in bacterial groups and also in some unicellular eukaryotes like Amoeba and Paramecium (type of protozoans). If a protozoan cell reproduces by binary fission then after 6 generations, there will 64 cells as each cell produces two new cells.

It can be calculated using the formula $2^{\mathrm{n}}$ where n represents number of generation. $2^6\mathrm{ }=\mathrm{ }64$ .