等差数列{An}各项均为正整数,A1=3.前n项和为Sn.等比数列{Bn}中,B1=1且B2S2=64.{Ban}是公比为64的等比...

题目

等差数列{An}各项均为正整数,A1=3.前n项和为Sn.等比数列{Bn}中,B1=1且B2S2=64.{Ban}是公比为64的等比...
等差数列{An}各项均为正整数,A1=3.前n项和为Sn.等比数列{Bn}中,B1=1且B2S2=64.{Ban}是公比为64的等比数列,求An与Bn

答案

等差数列{an}各项均为正整数,a1=3;设公差为d;an=a1+(n-1)d=3+(n-1)d;前n项和为Sn=3n+n(n-1)d/2;等比数列{bn}中,b1=1;设公比为q;bn=b1q^(n-1)=q^(n-1);b2S2=64;q*(6+d)=64;ban=q^(an-1)=q^[2+(n-1)d];ba(n-1)=q^[a(n-...