Find the missing term in the number sequence.
5, 10, 17, ?, 37
A.22
B.24
C.26
D.28

Let's analyze the given sequence:

5, 10, 17, ?, 37

We will look at the differences between consecutive terms:

1. \( 10 - 5 = 5 \)
2. \( 17 - 10 = 7 \)
3. Let the missing term be \( x \).
   \( x - 17 \) should follow the pattern of increasing differences.

We can see that the differences are increasing by 2. 
The first difference is 5, the second is 7, so the third should be \( 7 + 2 = 9 \).

Now, find \( x \):
\[
x - 17 = 9
\]
\[
x = 17 + 9 = 26
\]

Now, check the final difference:
\[
37 - 26 = 11
\]
This fits the pattern of increasing differences by 2.

Thus, the missing term is \( \boxed{26} \).

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the next term in the sequence after 37?
2. How do you find the nth term in an arithmetic sequence?
3. Can a number sequence follow a non-linear pattern?
4. What is the difference between arithmetic and geometric sequences?
5. How can number sequences be used in real-world applications?

**Tip:** When analyzing sequences, always check the difference or ratio between terms to spot patterns.

Learn how to find the missing term in the arithmetic sequence: 5, 10, 17, ?, 37. This problem involves understanding differences between consecutive terms and applying arithmetic progression rules. Suitable for students in Grades 5-7.

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