题目一个由若干行数字组成的数表,从第二行起每一行中的数字均等于其肩上的两个数之和,最后一行仅有一个数,第一行是前100个正整数按从小到大排成的行,则最后一行的数是.这是2009年全国高中联赛中的一道题目,这是一个数列问题,首先来研究它的一般解法.通过将这个数表按要求排列之后,我们猜测并用数学归纳法证明了第n行的公差为dn=2n(n=0,1,…).下面我们试着找出第n行首项an,0和第n Title A number table consisting of a number of lines from the second line since the number of each line is equal to the sum of the two numbers on the shoulder, the last line only one number, the first line is the first 100 positive integer Press From small to large lined row, the last line is the number of this is the 2009 National High School League in a topic, this is a series of questions, first of all to study its general solution by the number of tables arranged as required , We guess and use mathematical induction to prove that the tolerance of line n is dn = 2n (n = 0, 1, ...). Now let’s try to find the first an, 0 and n