Do you mean this?
import math
n = int(input("Enter n: "))
i = 1
s = 0
while i <= n:
s += 1/math.sin(sum(range(1,i+1)))
i += 1
print(s)
If you want to see each item during iterations
import math
n = int(input("n = "))
i = 1
s = 0
while i <= n:
r = 1/math.sin(sum(range(1,i+1)))
s += r
i += 1
print(r)
2
solved Calculate s = 1 / sin1 + 1 / (sin1 + sin2) + … 1 / sin (1 + .. n)