Question

cho A=1+2+2^2 +2^3 +...+2^200 .hay viet A+1 duoi dang mot luy thua

 

Answer 1

A=1+2+2²+2³+...+2¹⁰⁰

=>2A=2+2²+2³+2⁴+...+2¹⁰¹

=>2A-A=(2+2²+2³+2⁴+...+2¹⁰¹)-(1+2+2²+2³+...+2¹⁰⁰)

=>A=2¹⁰¹-1

=>A+1=2¹⁰¹-1+1=2¹⁰¹

Answer 2

A = 1+2+2²+2³+...+2¹⁰⁰

2A = 2+2²+2³+2⁴+...+2¹⁰⁰

2A - A = 2¹⁰⁰ - 1

=> A = 2¹⁰⁰ - 1

=> A + 1 = 2¹⁰⁰

Answer 3

A=1+2+2^2 +2^3 +...+2^200

2A = 2+2^2 + 2^3 + ...+2^200 + 2^201

2A - A =( 2+2^2 + 2^3 + ...+2^200 + 2^201)-(1+2+2^2 + 2^3 + ...+2^200 )

=> A = 2^201 - 1

=> A+1 = 2^201

Answer 4

2A-A=(2+2^2+2^3+2^4+...+2^201)-(1+2+2^2+2^3+...+2^100)

=>A=2^201-1

=>A+1=2^201-1+1=2^101