The next number of the sequence 0 3 8 15 24 35 …..is

Options

A. 46
B. 47
C. 48
D. 50

Answer

To find the next number in the sequence 0, 3, 8, 15, 24, 35, we can follow these steps:

1. **Identify the Sequence**: The given sequence is 0, 3, 8, 15, 24, 35.

2. **Calculate the Differences**: We will find the differences between consecutive terms:
- 3 - 0 = 3
- 8 - 3 = 5
- 15 - 8 = 7
- 24 - 15 = 9
- 35 - 24 = 11

So, the differences are: 3, 5, 7, 9, 11.

3. **Identify the Pattern in Differences**: The differences form a sequence: 3, 5, 7, 9, 11. This is an arithmetic sequence where each term increases by 2.

4. **Find the Next Difference**: The next difference in this sequence would be:
- 11 + 2 = 13.

5. **Add the Next Difference to the Last Term**: Now, we will add this next difference to the last term of the original sequence:
- 35 + 13 = 48.

6. **Conclusion**: Therefore, the next number in the sequence is 48.

### Final Answer:
The next number in the sequence is **48**.

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