Tính nhanh: 2016 × 35 + 2016 × 65=
2016 × 99 + 2016=
2016 × 102 - 2016 × 2=
2016 × 101 - 2016=
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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
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
\(2^{2016}+4^{2016}+6^{2016}+...+20^{2016}=2^{2016}\left(1+2^{2016}+3^{2016}+...+10^{2016}\right)\)
Do đó:
\(A=\frac{1^{2016}+2^{2016}+3^{2016}+...+10^{2016}}{2^{2016}+4^{2016}+6^{2016}+...+20^{2016}}=\frac{1}{2^{2016}}\)
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
\(P=\frac{3^{2016}-6^{2016}+9^{2016}-12^{2016}+15^{2016}-18^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{\left(1.3\right)^{2016}-\left(2.3\right)^{2016}+\left(3.3\right)^{2016}-\left(4.3\right)^{2016}+\left(5.3\right)^{2016}-\left(6.3\right)^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{1^{2016}.3^{2016}-2^{2016}.3^{2016}+3^{2016}.3^{2016}-4^{2016}.3^{2016}+5^{2016}.3^{2016}-6^{2016}.3^{2016}}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=\frac{-3^{2016}\left(-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}\right)}{-1^{2016}+2^{2016}-3^{2016}+4^{2016}-5^{2016}+6^{2016}}\)
\(=-3^{2016}\)
2016 × 35 + 2016 × 65
= 2016 × (35+65)
= 2016 × 100
= 201600
2016 × 99 + 2016
= 2016 × 99 + 2016 × 1
= 2016 × (1+99)
= 2016 × 100
= 201600
2016 × 102 - 2016 × 2
= 2016 × (102-2)
= 2016 × 100
= 201600
2016 × 101 - 2016
= 2016 × 101 - 2016 × 1
= 2016 × (101-1)
= 2016 × 100
= 201600
2016 x 35 + 2016 x 65
= 2016 x ( 35 + 65 )
= 2016 x 100
= 201600
2016 x 99 + 2016
= 2016 x 99 + 2016 x 1
= 2016 x ( 99 + 1 )
= 2016 x 100
= 201600
2016 x 102 - 2016 x 2
= 2016 x ( 102 - 2 )
= 2016 x 100
= 201600
2016 x 101 - 2016
= 2016 x 101 - 2016 x 1
= 2016 x ( 101 - 1 )
= 2016 x 100
= 201600