
               ### Instruction: help me answer this question The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q^2 = ps., think step by step
               ### Assistant: We are given the 5th, 8th and 11th terms of a G.P. and asked to prove a relationship between them. We first express each term using the formula a_n = a * r^(n-1) and then prove the relationship. , The answer is Given the 5th, 8th and 11th terms of a G.P. as p, q and s respectively, we can say that: 
q^2 = (a * r^7)^2 = a^2 * r^14 = a * r^3 * a * r^10 = a^2 * r^14 = ps
