Given the function f (x) = 4 ^ X / (4 ^ x + 2), (1) find the value of F (0.1) + F (0.9); (2) let the sequence {an} satisfy an = f (n / 1001), find the sum of the first 1000 terms

Given the function f (x) = 4 ^ X / (4 ^ x + 2), (1) find the value of F (0.1) + F (0.9); (2) let the sequence {an} satisfy an = f (n / 1001), find the sum of the first 1000 terms

If f (x) + F (1-x) is divided, the result is 1
So the first question is 1
The second question is similar
a1+a2+a3+...+a1000=S
a1000+ +a3+a2+a1=S
Add
2S = 1000 (a1 + a1000) = 1000 times 1 = 1000
So s = 500