aˇn+1=2*aˇn+3,求数列{aˇn}的通项公式?

问题描述:

aˇn+1=2*aˇn+3,求数列{aˇn}的通项公式?

a(n+1)=2a(n)+3,
a(n+1)+3=2[a(n)+3],
{a(n)+3}是首项为a(1)+3,公比为2的等比数列.
a(n)+3=[a(1)+3]2^(n-1),
a(n)=[a(1)+3]2^(n-1) - 3.