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Geometric Progression

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A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.

My logic:

If sum to infinity exists then 1- log_2 y > 0

- log_2 y > -1

log_2 y < 1

y< 2^1

y< 2

Where next?

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This solution explains how to solve a problem related to geometric progression.

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