Arithmetic Progression nth Term in Python
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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 code
def 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_termwith a value of 5, a common differencecommon_differencewith a value of 3, and we want to find the 10th termn_valueof the arithmetic progression. Thenth_term_arithmetic_progressionfunction is used to calculate the nth term, which is then printed to the console.
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