SPM Practice 2 (Geometric Progression) : Question 12

Question 12 [Harder question, please try!]

Given that 1 p =0.1666666......
= q + a + b + c + …..
Where p is a positive integer. If q = 0.1 and a + b + c are the first three terms of a geometric progression, state the value of a, b and c in decimal form. Hence find the value of p.