Question

tinh tong sau bang cach hop ly

a = 2+2^2+2^3+2^4+...+2^100

mong moi nguoi giup do

Answer 1

Ta có:

A=2+2^2+2^3+....+2^99+2^100

=>2A=2^2+2^3+2^4+....+2^100+2^101

=>2A-A=(2^2+2^3+2^4+....+2^101)-(2+2^2+2^3+....+2^99)

Phá ngoặc ra, ta được:

A=2^101-2.

P/s:Nếu bạn có máy tính cầm tay, bấm 2^100-2 bằng bao nhiêu nhé !!!Chúc bạn học tốt.

Answer 2

Ta có : 

\(A=2+2^2+2^3+...+2^{100}\)

\(\Rightarrow2A=2^2+2^3+2^4+...+2^{101}\)

\(\Rightarrow2A-A=\left(2^2+2^3+2^4+...+2^{100}\right)-\left(2+2^2+2^3+...+2^{100}\right)\)

\(\Rightarrow A=2^{101}-2\)

Vậy \(A=2^{101}-2\)

Answer 3

cam on moi nguoi nhe

Answer 4

huyenkemdau:

A = 2 + 2² + 2³ + ... + 2⁹⁹ + 2¹⁰⁰

2A = 2² + 2³ + 2⁴ + ... + 2¹⁰⁰ + 2¹⁰¹

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

=> A = 2¹⁰⁰ -2

Vậy A = 2^100 - 2

Tham khảo nha!

Answer 5

\(A=2+2^2+2^3+2^4+...+2^{100}\)

\(\Rightarrow2A=2^2+2^3+2^4+2^5+...+2^{101}\)

\(\Rightarrow2A-A=\left(2^2+2^3+2^4+2^5+...+2^{101}\right)-\left(2+2^2+2^3+2^4+...+2^{100}\right)\)

\(\Rightarrow A=2^{101}-2\)

Vậy  \(A=2^{101}-2\)

_Chúc bạn học tốt_

Answer 6

A=2+2^2+2^3+2^4+...+2^100

2A=2^2+2^3+2^4+...+2^100+2^101

2A-A=(2^2+2^3+2^4+...+2^100+2^101)-(2+2^2+2^3+2^4+...+2^100)

A=2^101-2

Vậy A =2^101-2