Prove the following relationships among the following interest factors. (a) (F/PJ, N) = i(F/AJ, N) + 1

Question:

Prove the following relationships among the following interest factors.
(a) (F/PJ, N) = i(F/AJ, N) + 1
(b) (P/F,i,N) = 1 - (P/AJ,N)i
(c) (A/FJ, N) = (A/P,i, N) - i
(d) (A/P,i,N) = i/[1- (P/F,i,N)]
(e) (P/AJ,N →∞) = 1/i
(f) (A/P,i, N → ∞) = i
(g) (P/G,I, N→∞) = l/i2