Math Problem Statement

-5,-2,1,4,7

Solution

It looks like you've provided a sequence of numbers: -5, -2, 1, 4, 7.

This appears to be an arithmetic sequence because the difference between each consecutive term is constant. Let's find the common difference:

-2 - (-5) = 3
1 - (-2) = 3
4 - 1 = 3
7 - 4 = 3

The common difference is 3. Therefore, this sequence follows the general form of an arithmetic sequence:
an=a1+(n1)da_n = a_1 + (n-1) \cdot d
Where:

  • a1=5a_1 = -5 (the first term)
  • d=3d = 3 (the common difference)
  • nn is the term number.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Algebra

Formulas

a_n = a_1 + (n-1) * d

Theorems

Arithmetic Sequence Formula

Suitable Grade Level

Grades 6-8