Question

2⁰+2¹+2²+...+2⁵⁰=2⁵¹-1​

Answer 1

Răspuns:

Explicație pas cu pas:

S = 2^0 + 2^1 + 2^2 + ... + 2^50

2S = 2^1 + 2^2 + ... + 2^50 + 2^51

2S - S = S

S = 2^1 + 2^2 + ... + 2^51 - 2^0 - 2^1 - 2^2 - ... - 2^50 = 2^51 - 2^0 = 2^51 - 1