题解 | #等差数列#
等差数列
https://www.nowcoder.com/practice/f792cb014ed0474fb8f53389e7d9c07f
等差数列求和公式:Sn = a1 * n + n*(n-1)*d/2
推导过程:
设置第一项a1,一共n项,公差为d
a_n = a1+ n(n-1)*d
和为a1+ (a1+d)+(a1+2d)+.... + (a1+ n(n-1)*d)
则共有n个a1,d的个数为n(n-1)/2个
最终代码:
function getSequence(n){ var sum = 2*n+ (n*(n-1))*3/2 return sum } let line while(line = readline()){ print(getSequence(line)) }