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Sn is meant to be the symbol of the sum of the first n terms of a GP (a + ar + ar^2 + ...)

I'm finishing off holiday work assigned to me before school starts back and I find myself stuck on this question all the time: "In any GP, let Rn = T(n + 1) + T(n + 2) + ... + T(2n). Show that Rn:Sn = r^n:1, and hence find r if R8:S8 = 1:81" This is how the question is printed in my textbook...

I am currently going through the series and sequence topic in HSC right now and I am struggling with questions from time to time, but this one is tricky: "The number of people attending the yearly Abletown Show is rising by 5% per annum and the number attending the yearly Bush Creek Show is...