Course Content
Mathematics for Data Analysis and Modeling
Mathematics for Data Analysis and Modeling
Challenge: Calculating Sum of Geometric Progression
In the previous chapter, we discovered a formula to calculate the sum of elements of an arithmetic progression. There is also a formula for the sum of a geometric progression:
Let's discover the following real-life case: consider a scenario where a population of bacteria doubles every hour. The initial population is 100
bacteria. We might want to calculate the total population after a certain number of hours. This scenario can be modeled as a geometric progression, where each term represents the population at a specific hour, and the common ratio r
is 2 (since the population doubles each hour).
Swipe to show code editor
Calculate the sum of first n
elements of geometric progression using both for
loop and the formula described above.
- Specify the arguments of the formula.
- Specify parameters of
for
loop.
Once you've completed this task, click the button below the code to check your solution.
Thanks for your feedback!
Challenge: Calculating Sum of Geometric Progression
In the previous chapter, we discovered a formula to calculate the sum of elements of an arithmetic progression. There is also a formula for the sum of a geometric progression:
Let's discover the following real-life case: consider a scenario where a population of bacteria doubles every hour. The initial population is 100
bacteria. We might want to calculate the total population after a certain number of hours. This scenario can be modeled as a geometric progression, where each term represents the population at a specific hour, and the common ratio r
is 2 (since the population doubles each hour).
Swipe to show code editor
Calculate the sum of first n
elements of geometric progression using both for
loop and the formula described above.
- Specify the arguments of the formula.
- Specify parameters of
for
loop.
Once you've completed this task, click the button below the code to check your solution.
Thanks for your feedback!