Question

A = 2 +2 MŨ 2 + 2 MŨ 3 + ... 2 MŨ 2007 + 2 MŨ 2028

GIÚP MÌNH VỚI Ạ 

 

Answer 1

\(A=2+2^2+2^3+...+2^{2028}\)

\(\Rightarrow2A=2^2+2^3+...+2^{2029}\)

\(\Rightarrow A=2A-A=2^2+2^3+...+2^{2029}-2-2^2-...-2^{2028}=2^{2029}-2\)

Answer 2

A=2 + 2 mũ 2 + 2 mũ 3 + 2 mũ 2007 + 2 mũ 2028

   =2¹ + 2² + 2³ + 2²⁰⁰⁷ + 2²⁰²⁸

   =2³ +2³ + 2²⁰⁰⁷ + 2²⁰²⁸

   =2⁶ + 2²⁰⁰⁷ + 2²⁰²⁸

   =2²⁰¹³ +2²⁰²⁸

   =2⁴⁰⁴¹

Answer 3

A=2+2²+2³+2²⁰⁰⁷+2²⁰²⁸

  =2¹+2²+2³+2²⁰⁰⁷+2²⁰²⁸

  =2³+2³+2²⁰⁰⁷+2²⁰²⁸

  =2⁶+2²⁰⁰⁷+2²⁰²⁸

  =2²⁰¹³+2²⁰²⁸

  =2²⁰⁴¹