数列题.如图

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数列题.如图

数列题.如图
数列题.如图

数列题.如图
记b(n) = 3^[a(n)],
则,b(1) = 3^[a(1)] = 1,
b(n+1) = 3^[a(n+1)] = 3^[a(n)] + 2 = b(n)+2,
{b(n)} 是首项为b(1)=1,公差为2的等差数列.
b(n) = 1 + 2(n-1) = 2n-1 = 3^[a(n)],
ln(2n-1) = a(n)*ln(3),
a(n) = ln(2n-1)/ln(3) = log_{3}(2n-1)

log3 (2n-1) n不等于1 n属于N*
0 n=1