Math Problem Statement

What is the common difference of the sequence -5, -1, 3, 7, ....

4

-4

-3

3

Solution

The given sequence is: 5,1,3,7,-5, -1, 3, 7, \dots

To find the common difference dd, subtract any term from the term that follows it.

d=(1)(5)=1+5=4d = (-1) - (-5) = -1 + 5 = 4 d=3(1)=3+1=4d = 3 - (-1) = 3 + 1 = 4 d=73=4d = 7 - 3 = 4

The common difference is 44.

The correct answer is 4.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the next term in the sequence?
  2. How do you find the nth term of an arithmetic sequence?
  3. Can a sequence have a common difference of 0? What kind of sequence would that be?
  4. How do you determine if a sequence is arithmetic?
  5. What happens if the common difference is negative?

Tip: In arithmetic sequences, the common difference remains constant between consecutive terms.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Common Difference

Formulas

d = a_(n+1) - a_n

Theorems

Arithmetic Sequence Definition

Suitable Grade Level

Grades 6-8