Question

Thu gọn biểu thúc sau : \(E=1+2+2^2+2^3+....+2^{2014}\)

Answer 1

E = 1 + 2 + 2² + 2³ + .... + 2²⁰¹⁴

2E = 2 + 2²  + 2³  + 2⁴ + .... + 2²⁰¹⁵

2E - E = (2 + 2² + 2³ + 2⁴ + .... + 2²⁰¹⁵) - (1 + 2 + 2² + 2³ + ..... + 2²⁰¹⁴)

E = 2²⁰¹⁵ - 1

Ủng hộ mk nha !!! ^_^

Answer 2

\(E=1+2+2^2+2^3+...+2^{2014}\)

\(2E=2+2^2+2^3+2^4+...+2^{2014}+2^{2015}\)

\(2E-E=\left(2+2^2+2^3+...+2^{2015}\right)-\left(1+2+2^2+...+2^{2014}\right)\)

\(E=2^{2015}-1\)