Q. Find the next term of the series: 0, 4, 18, 48, 100, …

Explanation:

Recognize the pattern: the nth term is n^3 − n^2 = n^2(n − 1).
Check:
– n=1: 1^3 − 1^2 = 0
– n=2: 8 − 4 = 4
– n=3: 27 − 9 = 18
– n=4: 64 − 16 = 48
– n=5: 125 − 25 = 100
Thus, next term (n=6): 6^3 − 6^2 = 216 − 36 = 180.