[FIXED] Arithmetic Sequence equation in Python

Issue

In today's task i've got to implement the below equation, but im struggling with the final output.

This is what I've made so far:

import math

def f(x, y):
    return ((x + y) / x)**2

summary = 0
sumw = 0

for j in range(1, 5):
    sumw = 0
    for k in range(1, 8):
        sumw += f(j, k)
    summary += sumw
print(summary)

OUTPUT:

343.97222222222223

but the final output is unfortunetaly 343.972223

What should I do in this case? Any ideas how to solve this one? Thanks in advance for any kind of help.

Solution

In the code, the main problem is that the squared operator has to include the entire sum over the k indexes. This is the correction version:

summary = 2
for j in range(1, 5):
    sumw = 0
    for k in range(1, 8):
        sumw += (j+k)/j
    summary += sumw**2
print(summary)
# 2130.777777777778

Altenatively, you can also write a one-liner:

summary = 2 + sum(sum((j+k)/j for k in range(1,8))**2 for j in range(1,5))

Answered By - C-3PO