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2014年华约自主招生数学题的数列题,它有一般形式,我们可以用解决数列的一般方法来研究,(2014年华约自主招生)已知数列{a_n}满足:a_1=0,a_(n+1)=np~n+qa_n,(1)若q=1,求a_a;(2)若|p|<1,|q|<1,求证:数列a_n有界,分析:本题可以化成数列求通项公式的一般形式来做,
2014 Joël’s self-enrollment math problems in the series of questions, it has a general form, we can use the general method to solve the series to study (2014 Independent Admissions) known sequence {a_n} satisfy: a_1 = 0, a_ (n + 1) = np ~ n + qa_n, (1) If q = 1, find a_a; (2) If | p | <1, | q | <1, prove: The general form of the general formula to do,