The first, second and third terms of a geometric progression are the first, fifth and 11 th

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The first, second and third terms of a geometric progression are the first, fifth and 11th terms respectively of an arithmetic progression. Given that the first term in each progression n is 48 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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