#$34.$A :: We've gone through double$-$lens systems. Now let's try a trio! Let's try three thin converging lenses, each with the same focal length of $40$ cm and each separated by $52$ cm$.$ If an object is placed along the common axis $80$ cm in front of the first lens, determine the position of the image with a full algebraic and numerical solution, alongside a hand$-$drawn optical representation of the multi$-$lens system. $($You may not be able to actually show the convergence of the principle rays on the final image due to space availability, but you should be able to easily show the first two.$)$