a. The third and fourth terms of a geometric progression are 1/3 and 2/9 respectively. Find the

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a. The third and fourth terms of a geometric progression are 1/3 and 2/9 respectively. Find the sum to infinity of the progression.
b. A circle is divided into 5 sectors in such a way that the angles of the sectors are in arithmetic progression. Given that the angle of the largest sector is 4 times the angle of the smallest sector, find the angle of the largest sector.

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