下列数列中是等差数列的是
问题描述:
下列数列中是等差数列的是
A.数列an的前n项和sn=n平方+1,n∈N*
b.数列an中,a1=1,a2=3且a(n+1)-an=3 (n≥2,n属于N*)
c 数列an中满足a(n-1)-2an+a(n+1)=0(n>=2,n∈N*)
D数列an中a(2n+2)-a2n=a(2n+1)-a(2n-1)=3(n∈N*)
答
c对
a(n-1)-2an+a(n+1)=0
=>
(a(n-1)-an) - (an-a(n+1)) = 0
=>
a(n-1)-an = an-a(n+1)
=>
an - a(n-1 = a(n+1)-an