数列{an} ,{bn}满足anbn = 1,an = n2 + 3n + 2,则{bn}的前十项的和为
人气:216 ℃ 时间:2019-08-19 17:35:02
解答
bn=1/( n2 + 3n + 2)
=1/((n+1)(n+2))
S10=1/(2*3)+1/(3*4).+1/(11*12)
=1/2-1/3+1/3-.+1/11-1/12
=1/2-1/12
=5/12
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