Lecture 27:- Arithmetic Progression nth Term in Python

In an arithmetic progression (AP), each term is obtained by adding a constant difference (d) to the previous term. The nth term of an arithmetic progression can be calculated using the formula:

nth term (Tn) = a + (n - 1) * d

where:

 

• Tn is the nth term of the AP,
• a is the first term of the AP, and
• d is the common difference between consecutive terms.

pythonCopy codedef nth_term_arithmetic_progression(a, d, n): return a + (n - 1) * d # Example usage: first_term = 5 common_difference = 3 n_value = 10 nth_term = nth_term_arithmetic_progression(first_term, common_difference, n_value) print(f"The {n_value}th term of the arithmetic progression is: {nth_term}")

 

To calculate the nth term of an arithmetic progression in Python, you can define a function that takes the first term (a), common difference (d), 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 an arithmetic progression:

In this example, we have a first term first_term with a value of 5, a common difference common_difference with a value of 3, and we want to find the 10th term n_value of the arithmetic progression. The nth_term_arithmetic_progression function is used to calculate the nth term, which is then printed to the console.