Final answer:
The number sequence provided does not follow a discernible pattern with the given terms. It is suggested that there might be an error in the sequence, and no option (A, B, C, D) can be definitively identified as the next number without more information or a corrected sequence.
Step-by-step explanation:
The student is asking for the next number in the series 7, 9, 13, 29. To find the pattern, we should look at the differences between consecutive terms or try to find a multiplicative or additive pattern. It is not immediately apparent what the sequence rule is, so we must consider different possibilities.
Starting with the differences, we have:
- 9 - 7 = 2
- 13 - 9 = 4
- 29 - 13 = 16
Although this might seem like the pattern is to multiply the difference by 2 each time (2, 4, 8), the actual third difference is 16, not 8, so the sequence is not following a simple multiplication or addition.
If we consider the last term to be incorrect and look for a multiplicative series or adding a constant prime number etc., we are unable to identify a common sequence rule that applies to these numbers. Therefore, based on the provided sequence, it is not possible to determine a definitive next number. There seems to be a typographical error or an omission in the series, making it impossible to identify the correct pattern. It is suggested to double-check the sequence for any errors or additional information that could reveal the correct pattern.