Question

What’s the pattern of -1, -8, -27, and -64

Answer 1

Hello from MrBillDoesMath!

Answer:

a(n) = (-n)^3  where n = 1,2,3,...

Discussion:

The pattern  1,8,27, 64... is immediately recognizable as the the cube of the positive integers. But this question has a minus sign appearing before  each entry, suggesting we try this:

 - 1  =  (-1)^3

 -8  = (-2)^3

-27  = (-3)^3

-64  = (-4)^3

That's what the problem statement asked for . The answer is equivalently

-1 * (n^3)

Thank you,

MrB