SOLUTION: What are the next 2 numbers? -2 4 -6 8 -10 12

Algebra.Com
Question 1206481: What are the next 2 numbers?
-2 4 -6 8 -10 12

Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

It appears we start with the multiples of 2
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
and then we alternate between positive and negative
-2, 4, -6, 8, -10, 12, -14, 16, -18, 20, ...

If that assumption is correct, then the next two values would be -14 and 16 in that order.

Keep in mind that sequence problems like this are fundamentally flawed.
Why is that?
Check out my previous response on this page for more information.
The summary of what I mention is that the sequence 1,2,4 could have infinitely many possible numbers as the fourth term; questions that ask about the next term are often too vague to answer. Further context is needed.

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

They can be  -14  and  16,

but they are not obliged to be  -14  and  16.

    Actually, they can be any two numbers, for example, 189 and -17,
   
    or -93 and 7.5, or  and ,

    or even    and  .

The question is mathematically incorrect and fundamentally non-sensical.



RELATED QUESTIONS

What is the next 10 numbers for this pattern? 15 , 11 , 3 , 6 , 12 , 5 , 10 , 1 , 2 , 4... (answered by Edwin McCravy)
What is The next number in the sequence 3, 2, 6, 4, 9, 6, 12,... (answered by MathIsHard_Yay)
What is the next numbers in these sequences and why are they as they are: -9 -8 -4 5 21... (answered by Boreal,MathLover1)
Find the next 2 numbers in this sequence: 3, 3, 5, 6, 8, 12, 12, 24,... (answered by jorel1380)
Gile’s numbers are multiples of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. What is the... (answered by josgarithmetic)
If I have the following numbers: 2,6,12,20,30,42... I can see the relationship... (answered by MathLover1)
What are the next 3 numbers in the sequence. 1/4, 0, -1/4,... (answered by robertb)
Explai whether the set {2, 4, 6, 8, 10, 12, ...} is closed with respect to addition on... (answered by stanbon)
what are the next three numbers in this number series; .1, .2, .3, .6, 1.1, 2.0, _, _, _ (answered by Edwin McCravy)