Correct option is D
Given series: 44, 46, 54, 86, 214, ?
The differences and relationships:
· 44 to 46: +2
· 46 to 54: +8
· 54 to 86: +32
· 86 to 214: +128
The differences between terms seem to follow a pattern of increasing additions:
+2, +8, +32, +128. (Multiply by 4)
The next increment should be +512
214 + 512 = 726
Thus, the missing number is 726.
Correct answer is (d) 726.