Hello,

In the given question, 0,3,8,15,.. if we observe the trend then,

• 0
• 0 + 3 = 3
• 3 + 5 = 8
• 8 + 7 = 15

Hence, the next numbers will be,

• 15 + 9 = 24
• 24 + 11 = 35
• 35 + 13 = 48 and so on.

i.e., the series will be, 0, 3, 8, 15, 24, 35, 48,....

Best Wishes.

Hello Manisha !

The sequence represent 0 , 3 , 8 ,15 ... that if take difference of the next term in the sequence with the previous term , the obtained sequence is in A.P i.e. Arithmetic Progression.

like for example , 3-0 = 3 , 8-3 = 5 , 15-8 =7 and so on

You can see the obtained terms are in A.P with a common difference of 2 (5-3=2)

So ,in this sequence next term will be 9 (7+2)

And in turn in the original pattern the next term is 24 (15+9).

So , the sequence will be of form , 0.3.8.15.24 and so on

Hope it helps !