What is the next number in the following sequence?
{2, 6, 3, 8, 6, 12, … }

+1

(1) Answers

ShalandaUnch663

The answer is 11.
At first you should determine what is the difference between consecutive numbers of the sequence:
[latex]2-6=-4\\6-3=3\\3-8=-5\\8-6=2\\6-12=-6 [/latex]
Can you see the pattern? The next difference should be equal to [latex]1[/latex] so:
[latex]12-x=1\\-x=-11\\x=11[/latex]
So the answer is equal to: [latex]\boxed{11}[/latex]