Part a
Set up the equations to find the intersections between each pair of functions: (i) \(f(x) = g(x)\), (ii) \(f(x) = h(x)\), and (iii) \(g(x) = h(x)\). Provide the equations in simplified form.
Part a
Formulate the equation for the sum of the first \(n\) terms for each arithmetic progression and state the relationship between these sums as given in the problem.