The rth term of a progression is R, the sth term is S, and

Last updated: 8/11/2022

The rth term of a progression is R, the sth term is S, and the tth term is T. (a) Show that, if the sequence is arithmetic, R(s - t) + S(t - r) +T(r - s) = 0. (b) Show that, if the sequence is geometric, (s - t) log R+ (t-r) log S+ (r - s) log T = 0.