Tính nhanh: 2016 × 35 + 2016 × 65=
2016 × 99 + 2016=
2016 × 102 - 2016 × 2=
2016 × 101 - 2016=
Tuyển Cộng tác viên Hoc24 nhiệm kì 26 tại đây: https://forms.gle/dK3zGK3LHFrgvTkJ6
Tính nhanh
2016+84+101+91+99
2016+83x2017+2017x16
Tính nhanh
2016+84+101+91+99
2016+83x2017+2017x16
2016+84+101+91+99
=(2016+84)+(101+99)+91
=2100+200+91
=2391
2016+83x2017+2017x16
=2017-1+83x2017+2017x16
=2017x(1+83+16)-1
=2017x100-1
=201701
2016+84+101+91+99
=(2016+84)+(101+99)+91
=2100+200+91
=2391
2016+83x2017+2017x16
=2017-1+83x2017+2017x16
=2017x(1+83+16)-1
=2017x100-1
=201701
2016 + 84 + 101 + 91 + 99
= ( 2016 + 84 ) + ( 101 + 99 ) + 91
= 2100 + 200 + 91
= 2300 + 91
= 2391
2016 + 83 x 2017 + 2017 x 16
= 2017 x ( 83 + 16 ) + 2016
= 2017 x 99 + 2016
= 199683 + 2016
= 201699
k mk nha
a)2017/2016 +2017/2015*2016
b) -(9/101+ 9/102)-(9/101-9/102)
a, = 2017/2016.(1+1/2015) = 2017/2016.2016/2015 = 2017/2015
b, = -9/101-9/102-9/101+9/102 = -18/101
k mk nha
tinh nhanh: 1^2016+2^2016+3^2016+.......+10^2016/2^2016+4^2016+6^2016+.....+20^2016
\(2^{2016}+4^{2016}+6^{2016}+...+20^{2016}=2^{2016}\left(1+2^{2016}+3^{2016}+...+10^{2016}\right)\)
Do đó:
\(A=\frac{1^{2016}+2^{2016}+3^{2016}+...+10^{2016}}{2^{2016}+4^{2016}+6^{2016}+...+20^{2016}}=\frac{1}{2^{2016}}\)
a)2017/2016 +2017/2015*2016
b) -(9/101+ 9/102)-(9/101-9/102)
giải chi tiết nha
a, \(=2017\left(\frac{1}{2016}+\frac{1}{2015.2016}\right)\)
\(=2017\left(\frac{2015+1}{2016}\right)\)
=2017.1=2017
b, = -9/101-9/102-9/101+9/102
=-18/101
Cho C=1+2016+2016^2+2016^3+...+2016^99 và D=2016^100-1 so sanh C và D
Cho dãy số 101 102 103 104 ...................đến 2016 . Tìm có bao nhiêu số đến 2016 ?
Cho dãy số 101 102 103 104 .......đến 2016. Tìm có bao nhiêu số đến 2016 ?
Số số hạng dãy số trên là :
( 2016 - 101 ) : 1 + 1 = 1916
Đáp số : 1916
Công thức : ( Số cuối - số đầu ) : KC + 1
Nhớ k mk
Baifi 1: Tính:
P= \(\dfrac{3^{2016}-6^{2016}+9^{2016}-12^{2016}+15^{2016}-18^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(P=\frac{3^{2016}-6^{2016}+9^{2016}-12^{2016}+15^{2016}-18^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{\left(1.3\right)^{2016}-\left(2.3\right)^{2016}+\left(3.3\right)^{2016}-\left(4.3\right)^{2016}+\left(5.3\right)^{2016}-\left(6.3\right)^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{1^{2016}.3^{2016}-2^{2016}.3^{2016}+3^{2016}.3^{2016}-4^{2016}.3^{2016}+5^{2016}.3^{2016}-6^{2016}.3^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{-3^{2016}\left(-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=-3^{2016}\)
Tính
(1/2 + 2015/2016 + 2016/2017 + 1)(2015/2016 + 2016/2017 + 7/22) - (1/2 + 2015/2016 + 2016/2017)(2015/2016 + 2016/2017 + 7/22 + 1)