Question

F(x)=x+3 Calculati
f(2)+f(2^2)+...+f(2^7)

Answer 1

f(2)+f(2^2)+...+f(2^7) = f(2)+f(2^2)+f(2^3)+f(2^4)+f(2^5)+f(2^6)+f(2^7) =
= 2+3 + 2^2 + 3 + 2^3 + 2^4 + 3 + 2^5 + 3 + 2^6 + 3 + 2^7 + 3 =
= 2 + 3 + 4 + 3 + 8 + 3 + 16 + 3 + 32 + 3 + 64 + 3 + 128 + 3 = 
= 2 + 4 + 8 + 16+ 32 + 64 + 128 + 7 × 3 =
= 254 + 21 = 
= 275