GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Geometric Progression - Explained

The video tutorial explores the exponential growth of bacteria in two flasks, A and B. It demonstrates how the population in flask A forms a geometric progression with a common ratio of 1.5. The tutorial calculates the population on the 10th and 6th days to find a multiplier, k. It also sketches a graph comparing the growth rates in both flasks, highlighting the faster growth in flask A due to a higher rate of increase. The tutorial emphasizes understanding geometric progressions and exponential growth.

Explain how the population of bacteria in flask A forms a geometric progression.

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Calculate the number of bacteria in flask A at the beginning of day three.

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What is the common ratio of the geometric progression for the bacteria in flask A?

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Find the value of k, which represents how many times larger the population of bacteria is on the 10th day compared to the 6th day.

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Describe the growth rate of the bacteria in flask B compared to flask A.

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Sketch a graph to compare the population of bacteria in flask A and flask B.

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What are the key components needed to prove a geometric progression?

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