If the fourth, seventh and tenth terms of a Geometric Progression are $p, q$ and $r$ respectively, t

Question

If the fourth, seventh and tenth terms of a Geometric Progression are $p, q$ and $r$ respectively, then

Professor PC Thomas Classes · Answer

In GP, $T_4 = ar^3=p$, $T_7 = ar^6=q$, $T_{10} = ar^9=r$. Clearly $q^2 = (ar^6)^2 = a^2r^{12} = p r$.