(a)(i) Find the sum of the series \(A(1 + r) + A(1 + r)^{2} + ... + A(1 + r)^{n}\). (ii) Given that r = 8% and A = GH 40.00, find the sum of the 6th to 10th...

(a)(i) Find the sum of the series \(A(1 + r) + A(1 + r)^{2} + ... + A(1 + r)^{n}\).

(ii) Given that r = 8% and A = GH 40.00, find the sum of the 6th to 10th terms of the series in (i).

(b) Find the equation of the tangent to the curve \(y = \frac{1}{x}\) at the point on the curve when x = 2.