Question

[tran thi khanh huyen]

bai 4 , tinh gia tri bieu thuc ;

a,A=2 mu 1 + 2 mu 2 +2 mu 3 +......+2 mu 2019

b,  B=1+3+3 mu 2 +3 mu 3 +......+3 mu 2020

Answer 1

[Nguyễn Phương Uyên]

\(a,A=2^1+2^2+2^3+...+2^{2019}\)

\(2A=2^2+2^3+2^4+...+2^{2020}\)

\(\Rightarrow2A-A=A=2^{2020}-2\)

\(B=1+3+3^2+3^3+...+3^{2020}\)

\(3B=3+3^2+3^3+...+3^{2021}\)

\(3B-B=2B=3^{2021}-1\)

\(B=\frac{3^{2021}-1}{2}\)

Answer 2

[Huỳnh Quang Sang]

a,\(A=2^1+2^2+2^3+...+2^{2019}\)

\(2A=2^2+2^3+2^4+...+2^{2020}\)

\(2A-A=\left[2^2+2^3+2^4+...+2^{2020}\right]-\left[2^1+2^2+...+2^{2019}\right]\)

\(A=2^{2020}-2^1=2^{2020}-2\)

b, \(B=1+3+3^2+3^3+...+3^{2020}\)

\(3B=3+3^2+3^3+...+3^{2021}\)

\(3B-B=\left[3+3^2+3^3+...+3^{2021}\right]-\left[1+3+3^2+...+3^{2020}\right]\)

\(2B=3^{2021}-1\)

\(B=\frac{3^{2021}-1}{2}\)