(Sum series) Python Question

Question

Write a function to compute the following series:

m(i) = 1/2 + 2/3 + ... + i/(i+1)

Write a test program that displays the following table:

i m(i)

1 0.5000

2 1.1667

...

19 16.4023

20 17.3546

Answer 1

def compute_series(n):

total = 0

for i in range(1, n + 1):

total += i / (i + 1)

yield total

def display_table(n):

print("i\tm(i)")

for i, result in enumerate(compute_series(n), start=1):

print(f"{i}\t{result:.4f}")

# Test the function with n = 20

display_table(20)