This topic comprehensively examines the basic knowledge and skills of arithmetic progression and geometric progression, such as general formula, the nature of inequality, logarithm arithmetic, reasoning and calculation ability, etc. It's still hard to see the answer/exercise/math /803980.

It is known that the sequence {an} satisfies 1/3an≤an+ 1≤3an, n∈N*, a 1 = 1.

(1) If a2=2, a3=x and a4=9, find the value range of X;

(2) If {an} is a geometric series and am =11000, find the minimum value of a positive integer m and the common ratio of the corresponding {an} when m takes the minimum value;

(3) if a 1, a2, …a 100 becomes arithmetic progression, find the tolerance range of a 1, a2, …a 100.