What should be the next number in the following series? 100 96 104 88 120 56_?

The next term in 100 96 104 88 120 56_? is 184.

Solution:

Given, series of numbers is 100, 96, 104, 88, 120, 56?

We have to find the missing term.

Now, if we observe we can write the given series as

100, 100 - 4 = 96, 96 + 8 = 104, 104 - 16 = 88, 88 + 32 = 120, 120 - 64 = 56,

So, the next term of the series is obtained by combining the previous term with alternative signed doubled addend or subtrahend.

Then, the next term will be 56 + 2 (64) = 56 + 128 = 184.

Hence, the next term is 184