A=1+2^2+2^3+...+2^20
=> 2A=2^2+2^3+...+2^21
=> 2A-A=A=(2^2+2^3+...+2^21)-(1+2^2+2^3+...+2^20)
=> A=2^21-1
A=1+2^2+2^3+...+2^20
=> 2A=2^2+2^3+...+2^21
=> 2A-A=A=(2^2+2^3+...+2^21)-(1+2^2+2^3+...+2^20)
=> A=2^21-1
a) Tính B= 1+2+2^2+2^3+...+ 2^2008 / 1-2^2009
b) So sánh: A= 20^10+1/20^10-1 và B= 20^10-1 / 20^10-3
Bài 7: Chứng tỏ rằng:
1/2^2 + 1/3^2 + 1/4^2 + ...1/100^2 < 3/4
Bài 8: So sánh A= 20^10 + 1 / 20^10 - 1 và B= 20^10 - 1 / 20^10 - 3.
tính A=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+....+1/20(1+2+...+19+20)
cho A=1/2+1/2^2+1/2^3+......+1/2^20. chung minh a+1/2^20 =1
a) A=2/1+2 + 2+3/1+2+3 +.....+2+3+...+20/1+2+3+...+20
b) B=1.3.5.7....2017.2019/1011.1012....2020 - 1/21010
CÀNG NHANH CÀNG TỐT NHÉ !!!!
A=\(\frac{2}{1+2}+\frac{2+3}{1+2+3}+\frac{2+3+4}{1+2+3+4}+...+\frac{2+3+...+20}{1+2+3+...+20}\)
tính giá trị biểu thức
A=1+1/2(1+2)+1/3(1+2+3)+...+1/20(1+2+3+...+20)
Tính
A= 1/2 + 1/22 + 1/23 +...+ 1/220
B= 1/2 - 1/22 + 1/23 - 1/24 +...+ 1/219 - 1/220
C= 1/3 + 2/32 + 3/33 +...+ 20/320
D= 4/3 + 7/32 + 10/33 +...+ 61/320
4)cho a^1+a^2+a^3+...+a^19+a^20+a^21=10 va a^1+a^2=a^3+a^4=...=a^19+a^20=a^20+a^21=2. tim a^20
Cho A=1/2^2+1/3^2+1/4^2+.......+1/20^2 .Chung to rang A<1
Cho A=1/2^2+1/3^2+1/4^2+........+1/20^2 .Chung minh A<1
Chu thich / La phan so
^ la mu