tinh nhanh A = 1+2+3+...+2015
Giup mink nhanh nha:
1. Cho: x+y+z=3
va x^3+y^3+z^3+6=3(x^2+y^2+z^2)
Tinh P= (x^2015-1)(y^2015-1)(z^2015-1)
2.Cho a,b,c khac nhau va a^2-b=b^2-c=c^2-a. Tinh Q=(a+b+1)(b+c+1)(c+a+1)
tinh nhanh
a) -1-2-3-4-...-2015-2016
+(-b) 1+(-3)+ 5+(-7)+.....+ 17+(-19)
tinh nhanh :1/2^2 + 1/2^3 + 1/2^4 +...+ 1/2 ^2015 jup mink ha
Tinh nhanh
1+3+32+33+....+32015-32016
Nhanh len nha mn
Đặt \(A=1+3+3^2+3^3+....+3^{2015}-3^{2016}\)
\(B=1+3+3^2+3^3+....+3^{2015}\)
Ta có:
\(B=1+3+3^2+...+3^{2015}\)
\(\Rightarrow3B=3+3^2+3^3+...+3^{2016}\)
\(\Rightarrow3B-B=\left(3+3^2+3^3+...+3^{2016}\right)-\left(1+3+3^2+...+3^{2015}\right)\)
\(\Rightarrow2B=3^{2016}-1\)
\(\Rightarrow B=\frac{3^{2016}-1}{2}\)
\(\Rightarrow A=\frac{3^{2016}-1}{2}-3^{2016}\)
tinh nhanh
A=-1+3-5+7-9+...+2015-2017
B=2-4-6+8+10-12-14+16+...+98-100+102+104
B = ( 2 - 4 - 6 + 8 ) + ( 10 - 12 - 14 + 16 ) +......+ ( 98 - 100 - 102 + 104 )
B = 0 + 0 +....+ 0 ( 52 số 0 )
B = 0
A=1+(3-5)+(7-9)+...+(2015-2017)
A=1+(-2)+(-2)+...+(-2)
A=(-2)*1008+1
A=(-2014)+1
A=-2015
1TINH NHANH
A=3+7+11+15+...+2015+2016
B=1+2+4+5+7+8+100+101
Sorry
Dãy A từ 3,7,11,15... đến 2015 có 503 số hạng
Vậy tổng là ( 3+2015)×503:2+2016=510552
Tổng B mình giải rồi đấy
Tinh nhanh
(2013 nhan 2014 nhan 2015) nhan (1-1/3-1/2-1/6)
\((2013\cdot2014\cdot2015)\cdot(1-\frac{1}{3}-\frac{1}{2}-\frac{1}{6})\)
\(=(2013\cdot2014\cdot2015)\cdot(\frac{6}{6}-\frac{2}{6}-\frac{3}{6}-\frac{1}{6})\)
\(=(2013\cdot2014\cdot2015)\cdot(\frac{6-2-3-1}{6})\)
\(=(2013\cdot2014\cdot2015)\cdot0=0\)
( 2013 × 2014 × 2015 ) × ( 1 - 1/3 - 1/2 - 1/6 )
= ( 2013 × 2014 × 2015 ) × ( 6/6 - 2/6 - 3/6 - 1/6)
= ( 2013 × 2014 × 2015 ) × 6 - 2 - 3 - 1/6
= ( 2013 × 2014 × 2015 ) × 0
= 0
(2013x2014x2015)x(1-1/3-1/2/-1/6)
=(2013x2014x2015)x(2/3-1/2-1/6)
=(2013x2014x2015)x(4/6-3/6-1/6)
=(2013x2014x2015)x(1/6-1/6)
=(2013x2014x2015)x0
=0
tinh nhanh
A= 2015 x 2016 -1
______________________ =........................................................................=..........................
2014x 2016 + 2015
Ta có: 2015x2016-1=(2014+1)x2016-1=2014x2016+2016-1=2014x2016+2015
A=\(\frac{2015x2016-1}{2014x2016+2015}=\frac{2014x2016+2015}{2014x2016+2015}=1\)\(\)
Vậy A=1
Mọi người tk cho mình nha.Mình cảm ơn nhiều ^-^
c=(1+1/3*1)+(1+1/2*4).....(1+1/2014*2015)
tinh c
ai nhanh minh tick cho