To find the pattern in the sequence 11, 35, 54, 78, 916, 1132, let's examine the differences between consecutive terms:

1. \(35 - 11 = 24\)
2. \(54 - 35 = 19\)
3. \(78 - 54 = 24\)
4. \(916 - 78 = 838\)
5. \(1132 - 916 = 216\)

The differences do not form a simple arithmetic or geometric sequence. 

However, it seems there might be an error with the term "916" as it disrupts the expected numerical pattern. 

If we look closely at the first four terms (11, 35, 54, 78), they are increasing more consistently:

- After 78, a more logical next term might follow a similar increase, perhaps around \(1132\) or the next expected increment of around 216.

If we keep the last term of \(1132\) and consider a similar increase, a reasonable next term could be around \(1132 + 216 = 1348\).

Thus, the next term in the sequence could be **1348**.

Would you like more details on this pattern, or do you have any questions? Here are some follow-up questions you might consider:

1. What type of sequences do you find most interesting?
2. Are there specific methods you prefer for analyzing numerical patterns?
3. Would you like to explore more complex sequences or mathematical concepts?
4. Do you want to check for possible errors in the given numbers?
5. How comfortable are you with identifying patterns in sequences? 

**Tip:** Always check if a term appears out of context; it might suggest an error or a new pattern altogether.

Discover how to find the next term in the sequence 11, 35, 54, 78, 916, 1132. This guide examines the differences between terms and identifies potential patterns in numerical sequences. Suitable for students in Grades 7-9.

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