What number comes next in following series 9,12,21,48

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What number comes next in following series 9,12,21,48

What number comes next in following series 9,12,21,48
What number comes next in following series 9,12,21,48

What number comes next in following series 9,12,21,48
前一项减去5,再乘以3,得到后一项
12=(9-5)×3
21=(12-5)×3
48=(21-5)×3
那么接下来就是(48-5)×3=129

129

129
a(n)=a(n-1)+3^n

前两个数差3,为3的一次方;第二个数和第三个数相差9,位3 的平方;第三个数与第四个数相差27,位3 得立方,所以我们能推断出第四个数和第五个数相差3得四次方,即81,所以48+81=129