Question

An arithmetic sequence is a sequence of values where successive values have a common difference.

For example, 2,5,8,11,... is an arithmetic sequence starting at 2 with a common difference of 3. We call the starting point s and the difference d.

Write a recursive Python function called arithmetic that takes values for s, d, and n, and returns the n^th term of the arithmetic sequence.

Given the main function:

def main():
    for i in range(1,6):
        print(arithmetic(2,3,i))

the output will be:

2
5
8
11
14

Answer 1

'''function to genereate airthmetic sequence'''
def arithmetic(s, d, n):
if n == 0:
return 0
print(s)
arithmetic(s+d, d, n-1)

'''variable declaration and initialization'''   
s = 2
d = 3
n = 6

'''display message on the computer screen'''
print('The airthmetic sequence is: ')

'''function calling'''
arithmetic(s, d, n-1)

The screenshot of the above code is:

'function to genereate airthmetic sequence def arithmetic (s, d, n): if n == 0: return 0 print(s) arithmetic(s+d, d, n-1) 'variable declaration and initialization''' = 2 3 'display mes sage on the computer screen print('The airthmetic sequence is: ') function calling''' arithmetic(s, d, n-1) un TO C

OUTPUT:

The airthmetic sequence is: 2 5 8 11 14