Moderate -0.8 This is a straightforward geometric progression application requiring identification of the common ratio from given first and last terms, then summing the GP using the standard formula. The context is clear, the method is routine, and it's a 3-mark question requiring only standard GP techniques with no conceptual challenges.
A company which makes batteries for electric cars has a 10-year plan for growth.
• In year 1 the company will make 2600 batteries
• In year 10 the company aims to make 12000 batteries
In order to calculate the number of batteries it will need to make each year, from year 2 to year 9, the company considers the following model:
*the number of batteries made will increase by the same percentage each year*
Showing detailed reasoning, calculate the total number of batteries made from year 1 to year 10. [3]
A company which makes batteries for electric cars has a 10-year plan for growth.
• In year 1 the company will make 2600 batteries
• In year 10 the company aims to make 12000 batteries
In order to calculate the number of batteries it will need to make each year, from year 2 to year 9, the company considers the following model:
*the number of batteries made will increase by the same percentage each year*
Showing detailed reasoning, calculate the total number of batteries made from year 1 to year 10. [3]
\hfill \mbox{\textit{SPS SPS SM 2020 Q6 [3]}}