#First sum

accumulator = 0
for i in range(1,1001):
    accumulator += i**4
print('First sum is', accumulator)

#Second sum

accumulator = 0
for i in range(0,1001):
    accumulator += 1/(1+i*i)
print('Second sum is', accumulator)

#Third sum
n = input('Give me the n for the third sum')
n = int(n)
accumulator = 0
for i in range(1,n+1):
    accumulator += 1/i**2

print('Third sum is', accumulator)

#Product

accumulator = 1
for i in range(1, 1001):
    accumulator *= (2*i+1)/(2*i)
print('The product is', accumulator)