一些数,-3,-7,-11,-15...第n个数是?

问题描述:

一些数,-3,-7,-11,-15...第n个数是?

-4n+1

1-4n

5(a-b)^2-(a+b)(b-a)
=5(a-b)^2+(a+b)(a-b)
=(a-b)(5a-5b+a+b)
=(a-b)(6a-4b)
=2(a-b)(3a-2b)
ax^4-14ax^2-32a
=a)x^4-14x²-32)
=a(x²-16)(x²+2)
=a(x²+2)(x+4)(x-4)

后一个等于前一个减去4
所以第n个是-3-4(n-1)=-4n+1

-3,-7,-11,-15...第n个数是 1-4n