Write an equation to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
2, -4, 8, …
The sequence seems to be alternating between positive and negative terms, with each term being twice the absolute value of the previous term.
We can represent this pattern with the equation:
aₙ = (-2)^(n-1) * 2
So the equation that describes the sequence is:
aₙ = (-2)^(n-1) * 2