This is actually a fairly easy to figure out sequence. The sequence was 2,4,8,16,....
To figure out the next number in this sequence, you must first establish a pattern that can be found through out the sequence.
The pattern found in this sequence is a multiple of two.
2×2=4
4×2=8
8×2=16
And to continue the pattern and thus figure out the next number in the series we shall take the last number in the sequence and multiply it by two as well.
16×2=32
The answer we get is thirty-two so therefore the next number in this sequence would have to be thirty-two. You can continue doing this pattern indefinitely to figure out more subsequent answers.
To find the seventh number in this sequence, we would write it out until we got to number seven.
1) 2×2=4
2) 2×4=8
3)2×8=16
4) 2×16=32
5) 2×32=64
6) 2×64=128
7) 2×128= 256
The seventh number to this sequence would be two hundred and fifty-six.
Some other sequences would be easier because the pattern would be based off of the position in the sequence and therefore we could write an equation to figure out any number in the sequence.
Let's take the following sequence as an example:
5,6,7,8,...
In this sequence, we are taking the original number and adding the number or the next position to figure, and then adding three. The equation for this would look like:
X=(n+1)+3
Where X is the next number in the sequence, and the n stands for the position in the sequence we are solving for.
Solve for n=1
X=(1+1)+3
X=5
Solve for n=2
X=(2+1)+3
X=6
Solve for n=3
X=(3+1)+3
X=7
Solve for n=4
X=(4+1)+3
X=8
Therefore, to find the next number in the sequence we will solve for n=5
X=(5+1)+3
X=9
And this would work for any number in this sequence. For example, Solve if n=12 then what is the value of X.
X=(12+1)+3
X=16
The twelfth number in this sequence would be sixteen.