The sequence provided is: 7, 20, 47, 94, ...

To identify the pattern and find the next term, let's analyze the differences between consecutive terms:

1. \( 20 - 7 = 13 \)
2. \( 47 - 20 = 27 \)
3. \( 94 - 47 = 47 \)

The differences between consecutive terms are: 13, 27, and 47.

Let's examine these differences further:
- The difference between 13 and 27 is \( 27 - 13 = 14 \).
- The difference between 27 and 47 is \( 47 - 27 = 20 \).

It seems the second differences are increasing by 6. This suggests the sequence follows a pattern where the difference between consecutive terms increases by an incrementally larger amount each time.

To find the next term:
- The next difference would be \( 47 + 20 + 6 = 73 \).
- Adding this difference to the last term, \( 94 + 73 = 167 \).

So, the next term in the sequence

Explore how to identify the next term in the sequence 7, 20, 47, 94 by analyzing the pattern of differences between consecutive terms. Learn about arithmetic sequences and how to apply them to solve similar problems. Suitable for students in Grades 7-9.

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