Question

Tinh :

1+2+2^2+2^3+...+2^100

Tim x 

X : 2 +x:6 +x:12+...+x:9900 = 99

x :(1/2)+x:(1/4)+x:(1/8) +...+ x:(1/512)=511

Answer 1

Đặt A=1+2+2²+2³+...+2¹⁰⁰

suy ra 2A=2+2²+2³+...+2¹⁰⁰

suy ra 2A-A=(2+2²+2³+...+2¹⁰¹)-(1+2+2²+2³+...+2¹⁰⁰⁾

                 =2¹⁰¹-1

Vậy 1+2+2²+2³+...+2¹⁰⁰=2¹⁰¹-1

Answer 2

 A=1+2+2^2+2^3+...+2^100

2A=2+2²+2³+2⁴+...+2¹⁰¹

2A-A=2¹⁰¹-1

Vậy A= 2¹⁰¹-1

Answer 3

1) x=100

Answer 4

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