观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) - -2x观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) --2x,4x^2,-8x^3,16x^4,-32x^5,64x^6,…(2)2x^2,-3x^3,5x^4,-9x^5,17x^6,-33x^7…(3)取每行的第1
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观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) - -2x观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) --2x,4x^2,-8x^3,16x^4,-32x^5,64x^6,…(2)2x^2,-3x^3,5x^4,-9x^5,17x^6,-33x^7…(3)取每行的第1
观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) - -2x
观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) -
-2x,4x^2,-8x^3,16x^4,-32x^5,64x^6,…(2)
2x^2,-3x^3,5x^4,-9x^5,17x^6,-33x^7…(3)取每行的第11个单项式,今这三个单式的和为A,计算当x=1/2时,512(A+1/4)的值
观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) - -2x观察下面三行单项式:x,2x^2,4x^3,8x^4,16x^5,32x^6,…(1) --2x,4x^2,-8x^3,16x^4,-32x^5,64x^6,…(2)2x^2,-3x^3,5x^4,-9x^5,17x^6,-33x^7…(3)取每行的第1
(1)中第n项为:2*(n-1)x*n,
∴第11项是:2*10x*11=1024x*11
(2)中第n项为:-(2x)*n
∴第11项是:-2048x*11
(3)中第n项为:(-1)*(n+1)[2*(n-1)+1]x*(n+1)
∴第11↓是:1025x*12
∴A=1024x*11-2048x*11+1025x*12
=1024x*11(1-2+x)
=1024x*11(x-1)
当x=½时:A=-1/4
∴512(A+1/4)=0