Respuesta :

MarkV
Hi there!

Let's first look at the series itself.

First number: 100
Second number: 96 (change of -4)
Third number: 104 (change of +8)
Fourth number: 88 (change of -16)
Fifth number: 120 (change of +32)
Sixt number: 56 (change of -64)

As we can see in our series, the change always doubles, and therefore the next change will be 128. During the series positive and negative changes occur alternately. Since the last change was a negative one, our next change will be positive.

We can get to the following conclusion: our following change in the series will be +128.

Let's add!
56 + 128 = 184

Hence, the answer is 184.
~ Hope this helps you!

100 - 96 = 4 Add this to 100 gives 104

96 - 104 = -8. Add this to 96 gives 88

104 - 88 = 16 Add this to 104 gives 120

88 - 120 = -32 Add this to 88 gives 56.

120 - 56 = 64 . Add this to 120 gives 184

Answer is 184.