Răspuns:
formula - 1+x+x²+x³+x⁴+...+xⁿ= xⁿ⁺¹-1/x-1
S= 2⁰+2¹+2²+...+2⁹⁹
S= 1+2+2²+2³+...+2⁹⁹
S= 2⁹⁹⁺¹ -1/ 2-1= 2¹⁰⁰-1= (2⁵⁰+1)(2⁵⁰-1)