self Maths Puzzle

a, b, c are three distinct real numbers in G.P. If a + b + c = xb, then find the range x may take

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self Other Question

After striking the floor, a ball rebounds to 4/5th of the height from which it fell. Find the total distance it travels before coming to rest if it is dropped from a height of 100 metres. If the third, first and second term of an arithmetic progression forms a geometric progression in the given order, then what can be the common ratio of the geometric progression?