Math Problem Statement

-74,
, -70, -68, -66, -64

Solution

The sequence you provided is:

-74, -70, -68, -66, -64

It appears to be an arithmetic sequence, where each term increases by a constant difference. Let's analyze it:

  • From -74 to -70, the difference is:
    70(74)=4-70 - (-74) = 4

  • From -70 to -68, the difference is:
    68(70)=2-68 - (-70) = 2

  • From -68 to -66, the difference is:
    66(68)=2-66 - (-68) = 2

  • From -66 to -64, the difference is:
    64(66)=2-64 - (-66) = 2

The first two numbers (-74 and -70) increase by 4, but afterward, the common difference is consistently 2.

Would you like to know more about how to handle or extend this type of sequence? If you have any questions or need further explanations, feel free to ask!

Here are 5 related questions:

  1. What is an arithmetic sequence, and how do you calculate its terms?
  2. Can the difference between terms in a sequence change?
  3. How can you find the nth term of an arithmetic sequence?
  4. What happens if you encounter a sequence with multiple differences?
  5. How would you sum the terms of an arithmetic sequence?

Tip: Always check for consistent differences when analyzing sequences—this helps identify patterns!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Pattern Recognition

Formulas

Difference between consecutive terms in an arithmetic sequence: d = a(n) - a(n-1)

Theorems

Arithmetic Progression (AP) Formula

Suitable Grade Level

Grades 6-8