If AP terms $a_4,a_8, a_{16}$ are in GP, are $a_3, a_6, a_{12}$ in GP too?

Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

The fourth, eighth and sixteenth terms of an arithmetic progression are consecutive terms of a geometric progression. Show that the third, sixth and twelfth terms of the arithmetic progression are also consecutive terms of a geometric progression.