等差数列{an},{bn}的前n项和为Sn,Tn.若对任意n∈N*,都有Sn/Tn=4n+3/2n-3,则现要使an/bn的值为正整数,则n的值有几个?

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等差数列{an},{bn}的前n项和为Sn,Tn.若对任意n∈N*,都有Sn/Tn=4n+3/2n-3,则现要使an/bn的值为正整数,则n的值有几个?

等差数列{an},{bn}的前n项和为Sn,Tn.若对任意n∈N*,都有Sn/Tn=4n+3/2n-3,则现要使an/bn的值为正整数,则n的值有几个?
等差数列{an},{bn}的前n项和为Sn,Tn.若对任意n∈N*,都有Sn/Tn=4n+3/2n-3,则现要使an/bn的值为正整数,则n的值有几个?

等差数列{an},{bn}的前n项和为Sn,Tn.若对任意n∈N*,都有Sn/Tn=4n+3/2n-3,则现要使an/bn的值为正整数,则n的值有几个?
an/bn=S(2n-1)/T(2n-1)
=[4(2n-1)+3]/[2(2n-1)-3]
=(8n-1)/(4n-5)
=(8n-10+9)/(4n-5)
=2 +9/(4n-5)
要an/bn为正整数,9/(4n-5)为正整数
n只能是2
满足题意的n只有一个,n的值为2

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