1×2+2×3+3×4+.....+50×51=?

要答案!!!~~急
2025-02-22 22:41:03
推荐回答(1个)
回答1:

给你个公式∑(i=1到n)i^2=n(n+1)(2n+1)/6
1×2+2×3+3×4+.....+50×51=∑(i=1到50)[i(i+1)]
=∑(i=1到50)i^2+∑(i=1到50)i
=50(50+1)(50*2+1)/6+50(50+1)/2
=44200