等差等比數列前n項和公式 要新版教科書上的,寫工作書忘帶回家了 等差的想起來了,要等比的

等差等比數列前n項和公式 要新版教科書上的,寫工作書忘帶回家了 等差的想起來了,要等比的

Sn=(a1+an)n/2 a1為首項an為末項
Sn=a1n+n(n+1)d/2 a1為首項,d為公差
等比數列求和公式
q≠1時Sn=a1(1-q^n)/(1-q)=(a1-anq)/(1-q)
q=1時Sn=na1
(a1為首項,an為第n項,d為公差,q為等比)
sn=a1*(1-qn)/(1-q)=(a1-an*q)/(1-q)
S=N*A1+N*(N-1)*D/2
等比:
A1*(1-Q的N次方)/(1-Q)/代表除號
希望能對您有幫助!!
關於等差等比數列的所有公式及變式
還有變式..所有的..
檢舉等差:An=A1+(n-1)d
Sn=n*(a1+an)/2
Sn=A1*n+n*(n-1)d/2
等比:an=A1*q的(n-1)次方
Sn=(a1-an*q)/(1-q)
Sn=A1(1-q的n次方)/(1-q)
A1為首項,An為具體某項,Sn為所有項的和
a1=1,an+1=(1/2)an+n,n為奇數;an-2n,n為偶數,且bn=a2n-2(1)求證bn是等比數列及通項公式,(2)求和S
求和S2n+1=a1+a2+a3+……a2n+a2n+1
公式打起來太不方便,截圖 ;,bn公比是1/2,筆誤,不過後面計算用的是1/2,沒錯
算一道除法題,
698除以(1+2分之1)除以(1—7分之1)除以(1-9分之3)
698除以(1+2分之1)除以(1—7分之1)除以(1-9分之3)
=698除以2分之3除以7分之6除以9分之6
=698乘以3分之2乘以6分之7乘以2分之3
=814又3分之1
3分之349
在物理學公式S=1/ 2at^ 2中,S為距離,a為加速度,t表示時間,如果s=10,a=5,t=?
把s,a代入公式可得:
10=1/2*5*t^2
=>t^2=4
=>t=2(時間不可能是負數)
初一整式加减計算題25道
3ab-4ab+8ab-7ab+ab=______.
4.7x-(5x-5y)-y=______.
5.23a3bc2-15ab2c+8abc-24a3bc2-8abc=______.
6.-7x2+6x+13x2-4x-5x2=______.
7.2y+(-2y+5)-(3y+2)=______.
11.(2x2-3xy+4y2)+(x2+2xy-3y2)=______.
12.2a-(3a-2b+2)+(3a-4b-1)=______.
13.-6x2-7x2+15x2-2x2=______.
14.2x-(x+3y)-(-x-y)-(x-y)=______.
16.2x+2y-[3x-2(x-y)]=______.
17.5-(1-x)-1-(x-1)=______.
18.()+(4xy+7x2-y2)=10x2-xy.
19.(4xy2-2x2y)-()=x3-2x2y+4xy2+y3.
21.已知A=x3-2x2+x-4,B=2x3-5x+3,計算A+B=______.
22.已知A=x3-2x2+x-4,B=2x3-5x+3,計算A-B=______.
23.若a=-0.2,b=0.5,代數式-(|a2b|-|ab2|)的值為______.
25.一個多項式减去3m4-m3-2m+5得-2m4-3m3-2m2-1,那麼這個多項式等於______.
26.-(2x2-y2)-[2y2-(x2+2xy)]=______.
27.若-3a3b2與5ax-1by+2是同類項,則x=______,y=______.
28.(-y+6+3y4-y3)-(2y2-3y3+y4-7)=______.
29.化簡代數式4x2-[7x2-5x-3(1-2x+x2)]的結果是______.
30.2a-b2+c-d3=2a+()-d3=2a-d3-()=c-().
31.3a-(2a-3b)+3(a-2b)-b=______.
32.化簡代數式x-[y-2x-(x+y)]等於______.
33.[5a2+()a-7]+[()a2-4a+()]=a2+2a+1.
34.3x-[y-(2x+y)]=______.
35.化簡|1-x+y|-|x-y|(其中x<0,y>0)等於______.
36.已知x≤y,x+y-|x-y|=______.
37.已知x<0,y<0,化簡|x+y|-|5-x-y|=______.
38.4a2n-an-(3an-2a2n)=______.
39.若一個多項式加上-3x2y+2x2-3xy-4得
2x2y+3xy2-x2+2xy,
則這個多項式為______.
40.-5xm-xm-(-7xm)+(-3xm)=______.
41.當a=-1,b=-2時,
[a-(b-c)]-[-b-(-c-a)]=______.
43.當a=-1,b=1,c=-1時,
-[b-2(-5a)]-(-3b+5c)=______.
44.-2(3x+z)-(-6x)+(-5y+3z)=______.
45.-5an-an+1-(-7an+1)+(-3an)=______.
46.3a-(2a-4b-6c)+3(-2c+2b)=______.
48.9a2+[7a2-2a-(-a2+3a)]=______.
50.當2y-x=5時,5(x-2y)2-3(-x+2y)-100=______.
.(4x2-8x+5)-(x3+3x2-6x+2).
72.(0.3x3-x2y+xy2-y3)-(-0.5x3-x2y+0.3xy2).
73.-{2a2b-[3abc-(4ab2-a2b)]}.
74.(5a2b+3a2b2-ab2)-(-2ab2+3a2b2+a2b).
75.(x2-2y2-z2)-(-y2+3x2-z2)+(5x2-y2+2z2).
76.(3a6-a4+2a5-4a3-1)-(2-a+a3-a5-a4).
77.(4a-2b-c)-5a-[8b-2c-(a+b)].
78.(2m-3n)-(3m-2n)+(5n+m).
79.(3a2-4ab-5b2)-(2b2-5a2+2ab)-(-6ab).
80.xy-(2xy-3z)+(3xy-4z).
81.(-3x3+2x2-5x+1)-(5-6x-x2+x3).
83.3x-(2x-4y-6x)+3(-2z+2y).
84.(-x2+4+3x4-x3)-(x2+2x-x4-5).
85.若A=5a2-2ab+3b2,B=-2b2+3ab-a2,計算A+B.
86.已知A=3a2-5a-12,B=2a2+3a-4,求2(A-B).
87.2m-{-3n+[-4m-(3m-n)]}.
88.5m2n+(-2m2n)+2mn2-(+m2n).
89.4(x-y+z)-2(x+y-z)-3(-x-y-z).
90.2(x2-2xy+y2-3)+(-x2+y2)-(x2+2xy+y2).
92.2(a2-ab-b2)-3(4a-2b)+2(7a2-4ab+b2).
93.2x2-{-3x-[4x2-(3x2-x)+(x-x2)]}.
94:-(7x-y-2z)-{[4x-(x-y-z)-3x+z]-x}.
95:(+3a)+(-5a)+(-7a)+(-31a)-(+4a)-(-8a).
96:a3-(a2-a)+(a2-a+1)-(1-a4+a3).
97.4x-2(x-3)-3[x-3(4-2x)+8].
3.ab-4ab+8ab-7ab+ab=______.
4.7x-(5x-5y)-y=______.
5.23a3bc2-15ab2c+8abc-24a3bc2-8abc=______.
6.-7x2+6x+13x2-4x-5x2=______.
7.2y+(-2y+5)-(3y+2)=______.
11.(2x2-3xy+4y2)+(x2+2x…展開
3.ab-4ab+8ab-7ab+ab=______.
4.7x-(5x-5y)-y=______.
5.23a3bc2-15ab2c+8abc-24a3bc2-8abc=______.
6.-7x2+6x+13x2-4x-5x2=______.
7.2y+(-2y+5)-(3y+2)=______.
11.(2x2-3xy+4y2)+(x2+2xy-3y2)=______.
12.2a-(3a-2b+2)+(3a-4b-1)=______.
13.-6x2-7x2+15x2-2x2=______.
14.2x-(x+3y)-(-x-y)-(x-y)=______.
16.2x+2y-[3x-2(x-y)]=______.
17.5-(1-x)-1-(x-1)=______.
18.()+(4xy+7x2-y2)=10x2-xy.
19.(4xy2-2x2y)-()=x3-2x2y+4xy2+y3.
21.已知A=x3-2x2+x-4,B=2x3-5x+3,計算A+B=______.
22.已知A=x3-2x2+x-4,B=2x3-5x+3,計算A-B=______.
23.若a=-0.2,b=0.5,代數式-(|a2b|-|ab2|)的值為______.
25.一個多項式减去3m4-m3-2m+5得-2m4-3m3-2m2-1,那麼這個多項式等於______.
26.-(2x2-y2)-[2y2-(x2+2xy)]=______.
27.若-3a3b2與5ax-1by+2是同類項,則x=______,y=______.
28.(-y+6+3y4-y3)-(2y2-3y3+y4-7)=______.
29.化簡代數式4x2-[7x2-5x-3(1-2x+x2)]的結果是______.
30.2a-b2+c-d3=2a+()-d3=2a-d3-()=c-().
31.3a-(2a-3b)+3(a-2b)-b=______.
32.化簡代數式x-[y-2x-(x+y)]等於______.
33.[5a2+()a-7]+[()a2-4a+()]=a2+2a+1.
34.3x-[y-(2x+y)]=______.
35.化簡|1-x+y|-|x-y|(其中x<0,y>0)等於______.
36.已知x≤y,x+y-|x-y|=______.
37.已知x<0,y<0,化簡|x+y|-|5-x-y|=______.
38.4a2n-an-(3an-2a2n)=______.
39.若一個多項式加上-3x2y+2x2-3xy-4得
2x2y+3xy2-x2+2xy,
則這個多項式為______.
40.-5xm-xm-(-7xm)+(-3xm)=______.
41.當a=-1,b=-2時,
[a-(b-c)]-[-b-(-c-a)]=______.
43.當a=-1,b=1,c=-1時,
-[b-2(-5a)]-(-3b+5c)=______.
44.-2(3x+z)-(-6x)+(-5y+3z)=______.
45.-5an-an+1-(-7an+1)+(-3an)=______.
46.3a-(2a-4b-6c)+3(-2c+2b)=______.
48.9a2+[7a2-2a-(-a2+3a)]=______.
50.當2y-x=5時,5(x-2y)2-3(-x+2y)-100=______.
.(4x2-8x+5)-(x3+3x2-6x+2).
72.(0.3x3-x2y+xy2-y3)-(-0.5x3-x2y+0.3xy2).
73.-{2a2b-[3abc-(4ab2-a2b)]}.
74.(5a2b+3a2b2-ab2)-(-2ab2+3a2b2+a2b).
75.(x2-2y2-z2)-(-y2+3x2-z2)+(5x2-y2+2z2).
76.(3a6-a4+2a5-4a3-1)-(2-a+a3-a5-a4).
77.(4a-2b-c)-5a-[8b-2c-(a+b)].
78.(2m-3n)-(3m-2n)+(5n+m).
79.(3a2-4ab-5b2)-(2b2-5a2+2ab)-(-6ab).
80.xy-(2xy-3z)+(3xy-4z).
81.(-3x3+2x2-5x+1)-(5-6x-x2+x3).
83.3x-(2x-4y-6x)+3(-2z+2y).
84.(-x2+4+3x4-x3)-(x2+2x-x4-5).
85.若A=5a2-2ab+3b2,B=-2b2+3ab-a2,計算A+B.
86.已知A=3a2-5a-12,B=2a2+3a-4,求2(A-B).
87.2m-{-3n+[-4m-(3m-n)]}.
88.5m2n+(-2m2n)+2mn2-(+m2n).
89.4(x-y+z)-2(x+y-z)-3(-x-y-z).
90.2(x2-2xy+y2-3)+(-x2+y2)-(x2+2xy+y2).
92.2(a2-ab-b2)-3(4a-2b)+2(7a2-4ab+b2).
93.2x2-{-3x-[4x2-(3x2-x)+(x-x2)]}.
94:-(7x-y-2z)-{[4x-(x-y-z)-3x+z]-x}.
95:(+3a)+(-5a)+(-7a)+(-31a)-(+4a)-(-8a).
96:a3-(a2-a)+(a2-a+1)-(1-a4+a3).
97.4x-2(x-3)-3[x-3(4-2x)+8].收起
1.3ab-4ab+8ab-7ab+ab=______.
2.7x-(5x-5y)-y=______.
3.23a3bc2-15ab2c+8abc-24a3bc2-8abc=______.
4.-7x2+6x+13x2-4x-5x2=______.
5.2y+(-2y+5)-(3y+2)=______.
6.(2x2-3xy+4y2)+(x2+2x…展開
1.3ab-4ab+8ab-7ab+ab=______.
2.7x-(5x-5y)-y=______.
3.23a3bc2-15ab2c+8abc-24a3bc2-8abc=______.
4.-7x2+6x+13x2-4x-5x2=______.
5.2y+(-2y+5)-(3y+2)=______.
6.(2x2-3xy+4y2)+(x2+2xy-3y2)=______.
7.2a-(3a-2b+2)+(3a-4b-1)=______.
8.-6x2-7x2+15x2-2x2=______.
9.2x-(x+3y)-(-x-y)-(x-y)=______.
10.2x+2y-[3x-2(x-y)]=______.
11.5-(1-x)-1-(x-1)=______.
12.()+(4xy+7x2-y2)=10x2-xy.
13.(4xy2-2x2y)-()=x3-2x2y+4xy2+y3.
14.已知A=x3-2x2+x-4,B=2x3-5x+3,計算A+B=______.
15.已知A=x3-2x2+x-4,B=2x3-5x+3,計算A-B=______.
16.若a=-0.2,b=0.5,代數式-(|a2b|-|ab2|)的值為______.
17.一個多項式减去3m4-m3-2m+5得-2m4-3m3-2m2-1,那麼這個多項式等於______.
18.-(2x2-y2)-[2y2-(x2+2xy)]=______.
19.若-3a3b2與5ax-1by+2是同類項,則x=______,y=______.
20.(-y+6+3y4-y3)-(2y2-3y3+y4-7)=______.收起
有理數除法運算計算能簡算就簡算
1.25÷(-0.5)÷(-八分之五)
-18÷3.25÷-2又四分之一
(-五分之三)×(-3又二分之一)÷(-1又四分之一)÷3
-99九十八分之九十七×(-98)
第一題=5/4*(-2)*(-8/5)=4
第二題==(-18)*4/13*(-4/9)=32/117
3=(-3/5)*7/2*(-4/5)*1/3=14/25
4==99*98+97=(100-1)*98+97=9800-98+97=9799
加速度的組織為米每二次方秒,是不是位移除以時間的平方等於加速度
不是,是微分的概念,是位移關於時間的二次求導
急求初一上數學混合運算,解方程,化簡求值,應用題,各25道
沒有答案也行,拜託~快點
初一上的隨便啊~難度適中解方程應用題
把一塊烙餅分給11個小朋友,只允許切6刀.每個小朋友最多分到幾塊?(每人塊數相等)
運用長除法化簡
請問怎麼使用長除法因式分解以下式子:
6x^4-20x^2-3x+8除以3x+3
(化至最簡形式)
2x^3-2x^2-14/3x+8/3
3x+3|6x^4+0x^3-20x^2-3x+8
-(6x^4+6x^3)
——————————————
-(-6x^3-6x^2)
——————————————
——————————————
——————————————
即6x^4-20x^2-3x+8除以3x+3的最簡式是2x^3-2x^2-14/3x+8/3