已知数列an中,a1=1,a2=0,对任意正整数n,m(n>m)满足(an)²-(am)²=(an-m)(an+m),则,a199=?
已知数列an中,a1=1,a2=0,对任意正整数n,m(n>m)满足(an)²-(am)²=(an-m)(an+m),则,a199=?
打错了。是问a119!
打错了。是问a119!
数学人气:681 ℃时间:2020-02-06 03:57:18
优质解答
令n=2,m=1:(a2)²-(a1)²=a1a3;所以a3=-1;令n=n>2,m=2:(an)²-(a2)²=(an-2)(an+2),(an)²=(an-2)(an+2),所以an/(an+2)=(an-2)/an;所以a119/a117=a117/a115=…=a3/a1=-1所以a119/a...
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