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例1数列{an}满足a1=5,an+1=2an+1,求通项公式an.分析:此题为an+1=pan+q(p≠1)型递推数列,需构造新数列,转化成等比数列求解.解:在an+1=2an+1两边加1,得an+1+1=2(an+1),
Example 1 The sequence {an} satisfies a1 = 5, an + 1 = 2an + 1, find the general formula an. Analysis: The problem is an + 1 = pan + q (p ≠ 1) Solving: Add 1 on both sides of an + 1 = 2an + 1 to get an + 1 + 1 = 2 (an + 1),