The first three terms of a geometric are 3p, 5p + 5, 8p + 20 progression respectively.

Question:

The first three terms of a geometric are 3p, 5p + 5, 8p + 20 progression respectively.

a) Show that p² − 10p + 25 = 0.

b) Hence show that p = 5 and find the common ratio of this progression.

c) Find the sum of the first 10 terms of the
progression.

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