高二数学数列题,用裂项相加法,求解答

2025-05-13 09:26:22
推荐回答(4个)
回答1:

回答2:

a1=3,an=3+2(n-1)=2n+1
Sn=1/2*(2n+1+3)*n
=n(n+2)
1/Sn=1/2*(1/n-1/(n+2))
2Tn=1-1/3+1/2-1/4+1/3-1/5+...+1/(n-2)-1/n+1/(n-1)-1/(n+1)+1/n-1/(n+2)
=1+1/2-1/(n+1)-1/(n+2)
Tn=n(3n+5)/[4(n+1)(n+2)]

回答3:

先求出an,再求出sn一步步做其实很简单

回答4: