The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
4, comma, 6, comma, 9, comma, point, point, .
4,6,9,...
Find the 6th term.
Find the 6th term.

To find the 6th term of the sequence \(4, 6, 9, \ldots\), we need to determine the pattern or rule governing the sequence.

### Step 1: Identify the pattern or rule in the sequence.

Let's analyze the differences between consecutive terms:

\[
6 - 4 = 2, \quad 9 - 6 = 3
\]

The differences between consecutive terms are \(2\) and \(3\). We notice that these differences do not form a consistent pattern, so it might suggest an arithmetic pattern involving a changing difference. 

If we look for a linear pattern or function, let’s check if there's a pattern in the increase:

**If we assume an arithmetic sequence:**

The difference between the terms keeps increasing by 1. Therefore, the difference pattern could be:
- First difference: 2
- Second difference: 3
- Third difference: 4 (and so on)

Therefore, to predict the 6th term:

Let's calculate terms up to the 6th term using:
\[
n_1 = 4, \quad n_2 = 6, n_3 = 9 (fixed base-value)

\[
Term 4:
\(n+ difference assumed for n4 - continues pattern for fixed increasing
#Keep checking multiple ways
Hope does n solve this ;`adjustment
`Haveing sample or keeping wondering anytime  gap tries -preray send links patterns going assure brief wanted of-shuffle-assumptions-

---
Hope awaits resolves-cleared?}}

Learn how to find the 6th term of an arithmetic sequence with initial terms 4, 6, and 9. Understand the pattern and steps involved in predicting subsequent terms. Suitable for students in Grades 6-8.

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