Lecture 28:- Geometric Progression nth Term in Python

In a geometric progression (GP), each term is obtained by multiplying the previous term by a constant ratio (r). The nth term of a geometric progression can be calculated using the formula:

nth term (Tn) = a * r^(n-1)

where:

• Tn is the nth term of the GP,
• a is the first term of the GP, and
• r is the common ratio between consecutive terms.

To calculate the nth term of a geometric progression in Python, you can define a function that takes the first term (a), common ratio (r), and the value of n as input parameters and returns the nth term using the formula mentioned above.

Here's a Python function to calculate the nth term of a geometric progression:

pythonCopy code

def nth_term_geometric_progression(a, r, n):    return a * (r ** (n - 1)) # Example usage: first_term = 2 common_ratio = 3 n_value = 5 nth_term = nth_term_geometric_progression(first_term, common_ratio, n_value) print(f"The {n_value}th term of the geometric progression is: {nth_term}")

In this example, we have a first term first_term with a value of 2, a common ratio common_ratio with a value of 3, and we want to find the 5th term n_value of the geometric progression. The nth_term_geometric_progression function is used to calculate the nth term, which is then printed to the console.