数列满足a1=1 1/<2an+1>=1/2an+1 n∈N* 若a1a2+a2a3+...+anan+1>16/33,求n的取值范围
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数列满足a1=11/<2an+1>=1/2an+1n∈N*若a1a2+a2a3+...+anan+1>16/33,求n的取值范围数列满足a1=11/<2an+1>=1/2an+1n∈N*若a1a2+a
数列满足a1=1 1/<2an+1>=1/2an+1 n∈N* 若a1a2+a2a3+...+anan+1>16/33,求n的取值范围
数列满足a1=1 1/<2an+1>=1/2an+1 n∈N* 若a1a2+a2a3+...+anan+1>16/33,求n的取值范围
数列满足a1=1 1/<2an+1>=1/2an+1 n∈N* 若a1a2+a2a3+...+anan+1>16/33,求n的取值范围
两边同时乘以2得1/an=1/a(n-1)+2 那么(1/an)可看成等差数列a1=1 由次推出1/an=2n-1 an=1/(2n-1) a1*a2+a2*a3+...+an*an+1=1/1*3+1/3*5+.1/(2n-1)*(2n+1)>16/33 1/1*3+1/3*5+.1/(2n-1)*(2n+1)由裂项相消得=(1-1/(2n+1))/2
(1-1/(2n+1))/2 >16/33推出n>16
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