The first, second and third terms of a geometric progression are the first, fourth and tenth terms,

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The first, second and third terms of a geometric progression are the first, fourth and tenth terms, respectively, of an arithmetic progression. Given that the first term in each progression is 12 and the common ratio of the geometric progression is r, where r ≠1, find:
a. The value of r
b. The sixth term of each progression.

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