Correct option is D
Given:
21, 13, 40, -24, 101, (?)
Logic: The difference is cube of the number in increasing order.
13 - 21 = -8 (-23)
40 - 13 = 27 (33)
-24 - 40 = -64 (-43)
101 - (-24) = 101 + 24 = 125 (53)
40 - 13 = 27 (33)
-24 - 40 = -64 (-43)
101 - (-24) = 101 + 24 = 125 (53)
The next difference in the sequence should be (−6)3 = −216:
Next term = 101+(−216) = 101−216 = −115
So, -115 is next term.
Thus, the correct answer is (d).