A geometric progression (G.P.) has first term a and common ratio r. The third term of the G.P. is 12 and the sixth term is 96.
(a) Find the values of a and r.
(b) Find the sum of the first 10 terms of the G.P.
(c) Find the least number of terms of the G.P. for which the sum exceeds 3000.

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A geometric progression (G.P.) has first term a and common ratio r. The third term of the G.P. is 12 and the sixth term is 96. (a) Find the values of a and r. (b) Find the sum of the first 10 terms of the G.P. (c) Find the least number of terms of the G.P. for which the sum exceeds 3000.

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