In the following question, select the missing number from the given series.
64, 72, 45, 109, -16, ?

Correct option is B

Given series: 64, 72, 45, 109, -16, ?
Logic: +8, -27, +64, -125
From 64 to 72: Difference = 72 - 64 = +8
From 72 to 45: Difference = 45 - 72 = -27
From 45 to 109: Difference = 109 - 45 = +64
From 109 to -16: Difference = -16 - 109 = -125
Now, observe the differences:
+8, -27, +64, -125
These differences are following a pattern where the differences are increasing in powers of
8 = 2³
27 = 3³
64 = 4³
125 = 5³
So, the next difference should be +6³ = 216.
Thus, the missing number is:
-16 + 216 = 200
So, the correct answer is (b) 200