1x2x3x4…x100简便计算的简单介绍
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本文目录一览:
1*2*3*4....*100简便运算
1×2+3×4+5×6+7×8+9×10……纯孝雀+(2n-1)×2n
=4x1^2-2x1+4x2^2-2x2+.....+4n^2-2n
=4(1^2+2^2+...+n^2)-2(1+2+...+n)
=4*n(2n+1)(n+1)/6-n(n+1)
将n=50代入就得做早出了答案慎孝
望采纳
[img]1乘2乘3乘4......乘100等于几
1x2x3x4x5x6x7x8x9x10x11x12x13x14x15x16x17x18x19x20x21x22x23x24x25x26x27x28x29x30x31x32x33x34x35x36x37x38x39x40x41x42x43x44x45x46x47x48x49x50x51x52x53x4x55x56x57x58x59x60x61x62x63x64x65x66x67x68x69x70x71x72x73x74x75x76x77x78x79x80x81x82x83x84x85x86x87x88x89x90x91x92x93x94x95x96x97x98x99x100
=可以用乘法交换率
=(1x2x3x4x5x6x7x8x9x10)x(11x12x13x14x15x16x17x18x19x20)x(21x22x23x24x25x26x27x28x29x30)x(31x32x33x34x35x36x37x38x39x40)x(41x42x43x44x45x46x47x48x49x50)x(51x52x53x4x55x56x57x58x59x60)x(61x62x63x64x65x66x67x68x69x70)x(71x72x73x74x75x76x77x78x79x80)(81x82x83x84x85x86x87x88x89x90)x(90x91x92x93x94x95x96x97x98x99x100)
数太大了 100!=9.3326215443944152681699238856267e+157
30414093201713378043612608166064768844377641568960512000000000000 一共有24个零 一点错都不会有的
1X2X3……X100=? 有什么简便方法吗?
=(1x2x3x4x5x6x7x8x9x10)x(11x12x13x14x15x16x17x18x19x20)x(21x22x23x24x25x26x27x28x29x30)x(31x32x33x34x35x36x37x38x39x40)x(41x42x43x44x45x46x47x48x49x50)x(51x52x53x4x55x56x57x58x59x60)x(61x62x63x64x65x66x67x68x69x70)x(71x72x73x74x75x76x77x78x79x80)(81x82x83x84x85x86x87x88x89x90)x(90x91x92x93x94x95x96x97x98x99x100)
=
9.3326215443944 * 10的157次方
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