> 数学 >
(-1)x(-2)x(-3)+(-2)x(-3)x(-4)+……+(-100)x(-101)x(-102)
人气:164 ℃ 时间:2020-04-25 19:28:23
解答
令Sn=1*2*3+2*3*4+.+n*(n+1)(n+2)
=1/4[(1*2*3*4-0*1*2*3)+(2*3*4*5-1*2*3*4)+.+
n(n+1)(n+2)(n+3)-(n-1)n(n+1)(n+2)]
=1/4*n(n+1)(n+2)(n+3)
(-1)x(-2)x(-3)+(-2)x(-3)x(-4)+……+(-100)x(-101)x(-102)
=-S100
=-1/4x100x101x102x103=-26527650
推荐
猜你喜欢
© 2026 79432.Com All Rights Reserved.
电脑版|手机版