6. Find the sum of the infinite geometric sequence 4, 16, 64, ...
7. An equilateral triangle with each side 14 cm long is
formed. The midpoints of the sides are joined to form
another equilateral triangle and the midpoints of this
triangle are joined to form still another triangle. If this
process is continued indefinitely, what is the sum of the
perimeters of the triangles formed?
9. It is said that during the last weeks of his life, Abraham deMoivre needed 15
minutes more sleep each night, and when he needed 24 hours of sleep he
would die. If he needed 8 hours sleep on September 1, what day did he die?
Abraham on Wikipedia