The annual carbon sequestration capacity of a geo-engineering facility is being scaled up to combat climate change. At the start of the project, the facility captures 12 500 tonnes of $CO2\text{CO}_2$ per year. Exactly six years after the start of monitoring, the annual capacity has reached 18 200 tonnes.

A model assumes that the annual capacity increases by $\%\,$ each year, such that the sequence of capacities at the end of each year follows a geometric sequence.

Assuming the model:

Calculate the value of $g$ , giving your answer to 2 decimal places.

According to the model, after $N\,$ years of monitoring, the annual capacity first exceeds 50 000 tonnes. Determine, showing all steps in your working, the smallest integer value of $N$ .

A model assumes that the annual capacity increases by $\%\,$ each year, such that the sequence of capacities at the end of each year follows a geometric sequence.

Assuming the model:

Calculate the value of $g$ , giving your answer to 2 decimal places.

According to the model, after $N\,$ years of monitoring, the annual capacity first exceeds 50 000 tonnes. Determine, showing all steps in your working, the smallest integer value of $N$ .

1.6.15 Standard formulae for geometric series (A-level only)

Question 21

Markscheme

1.6.15 Standard formulae for geometric series (A-level only)

Question 21

Markscheme

1.6.15 Standard formulae for geometric series (A-level only)

Question 21

1.6.15 Standard formulae for geometric series (A-level only) Questions

1.6.15 Standard formulae for geometric series (A-level only)

Question 21

1.6.15 Standard formulae for geometric series (A-level only) Questions