Question

Find out the appropriate next number in the series from the options below :
0, 2, 6, 12, 20, 30, 42, ?

• A. 56
• B. 62
• C. 49
• D. 5

Answer 1

The Correct Option is A

The sequence given is: 0, 2, 6, 12, 20, 30, 42, ?. To find the next number, we observe the pattern in differences between consecutive terms:
2−0=2, 
6−2=4,
12−6=6,
20−12=8,
30−20=10,
42−30=12.
Noticing that the differences are consecutive even numbers (2, 4, 6, 8, 10, 12), the next difference should be 14 (continuing this pattern). Therefore, the next term is:
42+14=56.
Thus, the appropriate next number in the series is 56.