Write down the next term in this sequence 3 8 15 24

The next term is 35.

3 (+5) = 8

8 (+7) = 15

15 (+9) = 24

Adding the last term to the next odd number, i. e., 11,

24 (+11) = 35

Note: I have only included brackets to emphasise on the odd numbers. They are not mathematically required.