Math Problem Statement

1,5,9,13 is this are arithmetic?

Solution

Yes, the sequence 1,5,9,131, 5, 9, 13 is an arithmetic sequence.

An arithmetic sequence is one where the difference between consecutive terms is constant. To verify this:

  • 51=45 - 1 = 4
  • 95=49 - 5 = 4
  • 139=413 - 9 = 4

The common difference is 44, which remains consistent between each term. Therefore, this sequence is arithmetic.

Would you like more details or have any questions?

Here are five related questions:

  1. What is the formula for the nn-th term of this arithmetic sequence?
  2. How do you find the sum of the first nn terms of an arithmetic sequence?
  3. Can you identify the common difference in another arithmetic sequence?
  4. What are the first five terms of an arithmetic sequence with a common difference of 33 and a starting term of 22?
  5. How can you determine if a given sequence is arithmetic?

Tip: Always check the difference between consecutive terms to quickly identify an arithmetic sequence.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences

Formulas

Formula for the nth term of an arithmetic sequence
Formula for the sum of an arithmetic sequence

Theorems

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Suitable Grade Level

Grades 7-9