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

Solution:

The series given is

100, 96, 104, 88, 120, 56,…

First we have to find the difference between two numbers

96 - 100 = -4

104 - 96 = 8

88 - 104 = -16

120 - 88 = 32

56 - 120 = -64

From these differences, we can see that it is doubled between each term

64 × 2 = 128

128 + 56 = 184

Therefore, the next number should be 184.

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

Summary:

The next number in the following series 100, 96, 104, 88, 120, 56,… is 184.