Math Problem Statement

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

Solution

Let's analyze the given sequence:

5, 10, 17, ?, 37

We will look at the differences between consecutive terms:

  1. 105=510 - 5 = 5
  2. 1710=717 - 10 = 7
  3. Let the missing term be xx. x17x - 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=97 + 2 = 9.

Now, find xx: x17=9x - 17 = 9 x=17+9=26x = 17 + 9 = 26

Now, check the final difference: 3726=1137 - 26 = 11 This fits the pattern of increasing differences by 2.

Thus, the missing term is 26\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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Patterns in Number Sequences

Formulas

Difference between consecutive terms in an arithmetic sequence

Theorems

Arithmetic Progression (AP)

Suitable Grade Level

Grades 5-7