There are 2008 numbers placed in the line as 0,1,3,8,21...Disregarding the 1st and the end,every

There are 2008 numbers placed in the line as 0,1,3,8,21...Disregarding the 1st and the end,every

题目
There are 2008 numbers placed in the line as 0,1,3,8,21...Disregarding the 1st and the end,every
term thereafter if multiplied by 3,the answer will always be the sum of the number on its left and the number on its right.What is the remainder when the rightmost is divided 3?
答案
有2008个数字排成一行,忽略第一个和最后一个,每一项乘以3之后,所得的数都是该项左边和右边两个数字的和,求最后一项除以3之后的余数是多少?
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