等比数列s4=15 s8=255 q= a1 =
问题描述:
等比数列s4=15 s8=255 q= a1 =
答
s4=a1*(1-q^4)/(1-q),S8=a1*(1-q^8)/(1-q),s8/s4=(1-q^8)/(1-q^4)=1+q^4=17,q=2或者-2,将-2代入s4得a1=-3,代入s8验证不等于255,舍去,将q=2代入s4可得a1=1,代入S8得255,所以,a1=1,q=2.