Why do I need to know how to use geometric progression?

Geometric1

39 – Why do I need to know how to use geometric progression?

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Practice exercise:
In 1 second, you count cell growth is 0.2 In 2 seconds, you count new cell growth is 0.3 In 3 seconds, you count new cell growth is 0.45 In 4 seconds, you count new cell growth is 1.0125

Assuming the cell growth ratio is 1.5 and it is growing in geometric progression, What is the total count of cells after 37 seconds.