-4
+8
-16
+32
-64
+128
Next number in this sequence is 184
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What should be the next number in the following series? 100 96 104 88 120 56
184
184. The difference between each term is -2 times the previous difference: 100 + -4 = 96 96 + (-4 x -2 = 96 + 8 = 104 104 + (8 x -2) = 104 + -16 = 88 88 + (-16 x -2) = 88 + 32 = 120 120 + (32 x -2) = 120 + -64 = 56 So the next difference is -64 x -2 = 128: 56 + (-64 x -2) = 56 + 128 = 184
56. The difference between one term and the next is -2 x the previous difference. 88 to 120 is +32, so the next term is 120 - 64 = 56
To find the pattern in the series, we can see that the numbers are alternating between adding and subtracting multiples of 8. The pattern is as follows: 100 - 4 = 96, 96 + 8 = 104, 104 - 16 = 88, 88 + 32 = 120, and 120 - 64 = 56. Therefore, the next number in the series would be 56 + 128 = 184.