Arithmetic Sequence equation in Python

Question

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.

The entire inner sum needs to be squared, not the individual terms. Move the **2 to the second last line. — luk2302
– luk2302, Commented Nov 13, 2022 at 12:09

C-3PO · Accepted Answer · 2022-11-13 12:16:03Z

2

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 Nov 13, 2022 at 12:16

C-3PO

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