Math Problem Statement

3, 9, 11, 17

Solution

It seems like you've listed a series of numbers: 3, 9, 11, 17. To understand the pattern, we can try analyzing the differences between consecutive terms:

  • 9 - 3 = 6
  • 11 - 9 = 2
  • 17 - 11 = 6

We can see that the differences alternate between 6 and 2. If this pattern continues, we might expect the next term in the sequence to be:

  • 17 + 2 = 19

So the next number in the sequence would be 19.

Would you like a more detailed explanation or further examples?

Here are some related questions for exploration:

  1. What is the general term for a sequence with alternating differences?
  2. How would this sequence change if the differences were consistent?
  3. What is the sum of the first 10 terms in a sequence like this?
  4. How can we calculate the nth term for sequences with alternating differences?
  5. How do you find the sum of an arithmetic sequence?

Tip: When analyzing sequences, always check the differences between consecutive terms; it’s a quick way to identify a pattern!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Sequences
Patterns
Arithmetic Sequences

Formulas

Difference between consecutive terms
Next term in sequence (using differences)

Theorems

Identifying patterns in sequences

Suitable Grade Level

Grades 5-7