不等式证明 数学帝速进!在线等
不等式证明 数学帝速进!在线等
a1=1,an=1/(3n-2)
求证: a2 ^2 +a3 ^2+.+an ^2 <1/6
速度啊!
a1=1,an=1/(3n-2)
求证: a2 ^2 +a3 ^2+.+an ^2 <1/6
速度啊!
数学人气:905 ℃时间:2019-12-12 23:46:42
优质解答
n > 2时,an^2 = 1/(3n-2)^2 < 1/(3(n-1))^2 < 1/9(1/(n-1)(n-2)) = 1/9(1/(n-2) - 1/(n-1))a2^2+a3^2+.+an^2 = 1/16 + a3^2 +.+an^2 = 1/16 + 1/49 + 1/9(1/2-1/3 +.+ 1/(n-2)-1/(n-1)) = 1/16 + 1/49 + 1/18 - 1/9(...
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