Cho A=1/4+2/4^2+3/4^3+...............+2018/4^2018
Những câu hỏi liên quan
CHO tổng M =1/4+2/4 mũ 2+3/4 mũ 3+4/4mũ4+......+2018/4 mũ 2018. Chung minh rang;M<1/2
1, cho biểu thức A = 1 + 21 + 22 + 23 + ... + 22018
chứng minh A = 22018 - 11
2,cho biểu thức B = 1 + 31 + 32 + 33 + .... + 32018
chứng minh B = (32019 - 1) : 2
3, cho biểu thức C = 1 + 41 + 42 + 43 + ... + 42018
chứng minh C = ( 42019 - 1) : 3
\(A=1+2^1+2^2+...+2^{2017}\)
\(2A=2+2^2+2^3+...+2^{2018}\)
\(2A-A=2^{2018}-1hayA=2^{2018}-1\)
2; 3 tuong tu
Đúng 0
Bình luận (0)
1) A = 1 + 2 + 22 + 23 + .... + 22018
2A = 2 + 22 + 23 + 24 + ..... + 22019
2A - A = ( 2 + 22 + 23 + 24 + ..... + 22019 ) - ( 1 + 2 + 22 + 23 + .... + 22018 )
Vậy A = 22019 - 1
2) B = 1 + 3 + 32 + 33 + ..... + 32018
3A = 3 + 32 + 33 + ...... + 32019
3A - A = ( 3 + 32 + 33 + ...... + 32019 ) - ( 1 + 3 + 32 + 33 + ..... + 32018 )
2A = 32019 - 1
Vậy A = ( 32019 - 1 ) : 2
3) C = 1 + 4 + 42 + 43 + ...... + 42018
4A = 4 + 42 + 43 + ...... + 42019
4A - A = ( 4 + 42 + 43 + ...... + 42019 ) - ( 1 + 4 + 42 + 43 + ...... + 42018 )
3A = 42019 - 1
Vậy A = ( 42019 - 1 ) : 3
Đúng 0
Bình luận (0)
\(A=1+2+2^2+2^3+....+2^{2018}\)
\(2A=2+2^2+2^3+....+2^{2019}\)
\(A=2^{2019}-1\)
\(B=1+3+3^2+....+3^{2018}\)
\(3B=3+3^2+3^3+....+3^{2019}\)
\(2B=3^{2019}-1\)
\(B=\frac{2^{2019}-1}{2}\)
\(C=1+4+4^2+...+4^{2018}\)
\(\Rightarrow4B=4+4^2+4^3+...+4^{2019}\)
\(\Rightarrow3B=4^{2019}-1\)
\(\Rightarrow B=\frac{4^{2019}-1}{3}\)
Đúng 0
Bình luận (0)
1×2×3×4×...×2018×2019-1×2×3×...×2018-1×2×3×4×..×2017×20182
1x2x3x...2018x2019 - 1x2x3x..2018 - 1x2x3x4x...x2017x20182
= 1x2x3x...x2018x(2019 - 1 - 2018)
= 1x2x3x...x2018x0
= 0
Đúng 0
Bình luận (0)
Tính :A= [(2018/1)+(2017/2)+(2016/3)+(2015/4)+...+(4/2015)+(3/2016)+(2/2017)+(1/2018)]/[(2019/1)+(2019/2)+(2019/3)+(2019/4)+...+(2019/2015)+(2019/2016)+(2019/2017)+(2019/2018)+(2019/2019)]
Tính :A= [(2018/1)+(2017/2)+(2016/3)+(2015/4)+...+(4/2015)+(3/2016)+(2/2017)+(1/2018)]/[(2019/2)+(2019/3)+(2019/4)+(2019/5)+...+(2019/2015)+(2019/2016)+(2019/2017)+(2019/2018)+(2019/2019)]
cho A =1+2^2018+3^2017+4^2016+...+2018^2+2019,B=1+2^2017+3^2016+...+2017^2+2018,chứng tỏ giá trị biểu thức A-3B dương
cho A =1+2^2018+3^2017+4^2016+...+2018^2+2019,B=1+2^2017+3^2016+...+2017^2+2018,chứng tỏ giá trị biểu thức A-3B dương
a)A=/x+7/+/x^2-169/-/x-2018/
b)B=[2018/2+2018/3+2028/4+.....+2019/2018]:[1/2018+2/2017+3/2016+......+2018]
(1+4+4^2+4^3+...+4^2018)/(1+2+2^2+2^3+...+2^2018) tính biểu thức trên
đặt A=1+4+4^2+4^3+...+4^2018
B=1+2+2^2+2^3+...+2^2018
A=1+4+4^2+4^3+...+4^2018
4A=4+4^2+4^3+...+4^2019
4A-A=(4+4^2+4^3+...+4^2019)-(1+4+4^2+4^3+...+4^2018)
3A=4^2019-1
A=(4^2019)/3
B=1+2+2^2+2^3+...+2^2018
2B=2+2^2+2^3+...+2^2019
2B-B=(2+2^2+2^3+...+2^2019)-(1+2+2^2+2^3+...+2^2018)
B=2^2019-1
=>(1+4+4^2+4^3+...+4^2018)/(1+2+2^2+2^3+...+2^2018) =A/B=(4^2019-1)/3/(2^2019-1)
=(4^2019-1)/(3.2^2019-3)
Vậy ...............................