Find the next 2 numbers in the pattern 1024,-256,64,-16 explain your reasoning

Question

I do not get the pattern please help 

Answer 1

Reference:  "In a Geometric Sequence each term is found by multiplying the previous term by a constant."

 

The Sequence of numbers given in the problem has a Rule that describes them:

    Each number is found by multiplying the previous number by (-1/4), or you could say:

    Each number is found by dividing the previous number by (-4).

 

So, the next number after (-16) is (-16)/(-4) = 4

And, the number before that is:   (4)/(-1) = -1

 

p.s., The rule must hold true for all adjacent pairs in the Sequence.

Answer 2

The next two numbers are 4 and -1.

 

 

Here is the pattern:

 

4⁵ , -4⁴ ,  4³ , -4² ,  4¹ ,  -4⁰

 

 

Each term alternates signs.

Each term is 4 raised to a power. 

Each power decreases by 1.