Question

S = 1+2+2^2+2^3+...+2^9; P = 5.2^8. So sánh S và P

Answer 1

2S = 2+2²+2³+2⁴+...+2¹⁰

2S - S = S = 2¹⁰-1

S = 2⁸.2²-1

S = 2⁸.4 - 1

Ta có:

5.2⁸ > 2⁸.4 > 2⁸.4 - 1

=> 5.2⁸ > 2⁸.4-1

=> P > S

=> S < P

Answer 2

S= \(2^{10}-1\)

\(P=\left(2^2+1\right)2^8=2^{10}+2^8\)

S < P