Question

tính s = 2 + 2 mũ 2 + 2 mũ 3 + 2 mũ 4 + 2 mũ 2016

Answer 1

\(S=2+2^2+...+2^{2016}\)

\(\Rightarrow2S=2.\left(2+2^2+...+2^{2016}\right)\)

\(\Rightarrow2S=2^2+2^3+...+2^{2017}\)

\(\Rightarrow2S-S=2^2+2^3+...+2^{2017}-\left(2+2^2+...+2^{2016}\right)\)

\(\Rightarrow S=2^2+2^3+...+2^{2017}-2-2^2-...-2^{2016}\)

\(\Rightarrow S=2^{2017-2}\)

Answer 2

2^1+2^2+2^3+2^4+2^2016

=2^1+2+3+4+2016

=2^2026

Answer 3

S=2 + 2² + 2³+...+2²⁰¹⁶

2.S= 2²+2³+2⁴+......+2²⁰¹⁷

2.S - S = (2²+2³+2⁴+......+2²⁰¹⁷) - (2 + 2² + 2³+...+2²⁰¹⁶)

S = 2²⁰¹⁷-2