1.S奇= (a1+a1+2n*d)*(n+1)/2 =(a1+nd)*(n+1)
S偶= (a1+d+a1+(2n-1)d)*n/2=(a1+nd)*n
∴S奇-S偶=a1+nd
S奇/S偶=n+1/n
2.S奇= (a1+a1+(2n-2)*d)*n/2 =(a1+(n-1)*d)*n
S偶= (a1+d+a1+(2n-1)*d)*n/2=(a1+nd)*n
∴S奇-S偶= -nd
S奇/S偶=(a1+(n-1)*d)/(a1+nd)
3.∵S10=S30 ∴(a1+9d)*5=(a1+29d)*15
即a1=-39d
(a1+(n-1)*d)*n/2=(a1+24d)*25/2
(-40d+nd)*n=-375d
n^2-40n+375=0
n=15 或 n=25(舍去)
∴n=15