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.

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

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

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.

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

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

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