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Given the first 2 terms of an Arithmetic Series.Find the Nth term of the series.
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Sure! Here's a Python program that takes the first term, second term, and the value of n from the user, and calculates the nth term of the Arithmetic Series:
a1 = int(input("Enter the first term of the Arithmetic Series: "))
a2 = int(input("Enter the second term of the Arithmetic Series: "))
n = int(input("Enter the value of n: "))
# calculate the common difference
d = a2 - a1
# calculate the nth term of the Arithmetic Series
an = a1 + (n - 1) * d
print("The", n, "th term of the Arithmetic Series is", an)
Let's understand how this program works:
We first take the values of the first term a1, second term a2, and the value of n from the user using the input() function. Note that we use the int() function to convert the user input from a string to an integer.
We then calculate the common difference d of the Arithmetic Series by subtracting the first term from the second term (d = a2 - a1).
We use the formula for the nth term of an Arithmetic Series to calculate the value of an. The formula is:
an = a1 + (n - 1) * d
Here, a1 is the first term of the series, d is the common difference, and n is the value of n provided by the user.
Once the calculation is done, we print out the result using the print() function. We use string concatenation to include the value of n and an in the output message.
Here's an example of how to use this program:
Enter the first term of the Arithmetic Series: 3
Enter the second term of the Arithmetic Series: 7
Enter the value of n: 10
The 10 th term of the Arithmetic Series is 27
In this example, the user has entered 3 as the value of the first term a1, 7 as the value of the second term a2, and 10 as the value of n. The program calculates the 10th term of the Arithmetic Series with first term 3, second term 7 and outputs the result as 27.
Sure! Here's a Python program that takes the first term, second term, and the value of n from the user, and calculates the nth term of the Arithmetic Series:
a1 = int(input("Enter the first term of the Arithmetic Series: "))
a2 = int(input("Enter the second term of the Arithmetic Series: "))
n = int(input("Enter the value of n: "))
# calculate the common difference
d = a2 - a1
# calculate the nth term of the Arithmetic Series
an = a1 + (n - 1) * d
print("The", n, "th term of the Arithmetic Series is", an)
Let's understand how this program works:
We first take the values of the first term a1, second term a2, and the value of n from the user using the input() function. Note that we use the int() function to convert the user input from a string to an integer.
We then calculate the common difference d of the Arithmetic Series by subtracting the first term from the second term (d = a2 - a1).
We use the formula for the nth term of an Arithmetic Series to calculate the value of an. The formula is:
an = a1 + (n - 1) * d
Here, a1 is the first term of the series, d is the common difference, and n is the value of n provided by the user.
Once the calculation is done, we print out the result using the print() function. We use string concatenation to include the value of n and an in the output message.
Here's an example of how to use this program:
Enter the first term of the Arithmetic Series: 3
Enter the second term of the Arithmetic Series: 7
Enter the value of n: 10
The 10 th term of the Arithmetic Series is 27
In this example, the user has entered 3 as the value of the first term a1, 7 as the value of the second term a2, and 10 as the value of n. The program calculates the 10th term of the Arithmetic Series with first term 3, second term 7 and outputs the result as 27.