Challenge: Calculating Sum of Geometric Progression | Basic Mathematical Concepts and Definitions
Mathematics for Data Analysis and Modeling

Course Content

Mathematics for Data Analysis and Modeling

Mathematics for Data Analysis and Modeling

1. Basic Mathematical Concepts and Definitions
2. Linear Algebra
3. Mathematical Analysis

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).

Calculate the sum of first `n` elements of geometric progression using both `for` loop and the formula described above.

1. Specify the arguments of the formula.
2. Specify parameters of `for` loop.

Once you've completed this task, click the button below the code to check your solution.

Calculate the sum of first `n` elements of geometric progression using both `for` loop and the formula described above.

1. Specify the arguments of the formula.
2. Specify parameters of `for` loop.

Once you've completed this task, click the button below the code to check your solution.

Everything was clear?

Section 1. Chapter 4

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).

Calculate the sum of first `n` elements of geometric progression using both `for` loop and the formula described above.

1. Specify the arguments of the formula.
2. Specify parameters of `for` loop.

Once you've completed this task, click the button below the code to check your solution.

Calculate the sum of first `n` elements of geometric progression using both `for` loop and the formula described above.

1. Specify the arguments of the formula.
2. Specify parameters of `for` loop.

Once you've completed this task, click the button below the code to check your solution.

Everything was clear?

Section 1. Chapter 4

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).

Calculate the sum of first `n` elements of geometric progression using both `for` loop and the formula described above.

1. Specify the arguments of the formula.
2. Specify parameters of `for` loop.

Once you've completed this task, click the button below the code to check your solution.

Calculate the sum of first `n` elements of geometric progression using both `for` loop and the formula described above.

1. Specify the arguments of the formula.
2. Specify parameters of `for` loop.

Once you've completed this task, click the button below the code to check your solution.

Everything was clear?

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).

Calculate the sum of first `n` elements of geometric progression using both `for` loop and the formula described above.
2. Specify parameters of `for` loop.