Math Problem Statement

-10, -6, -2 _, 2, 6, 10,

Solution

The given sequence is: 10,6,2,_,2,6,10-10, -6, -2, \_, 2, 6, 10.

To find the missing number, observe the pattern in the sequence:

Each term increases by 4: 10+4=6-10 + 4 = -6 6+4=2-6 + 4 = -2 2+4=2-2 + 4 = 2

Thus, the missing number between 2-2 and 22 is 00.

The complete sequence is: 10,6,2,0,2,6,10-10, -6, -2, 0, 2, 6, 10.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions for you to explore:

  1. What is the general formula for this arithmetic sequence?
  2. How can you find the sum of all terms in the sequence?
  3. What would the next two terms be after 1010?
  4. How does the common difference in an arithmetic sequence affect the pattern?
  5. Can you find the 15th term of this arithmetic sequence?

Tip: In an arithmetic sequence, the difference between consecutive terms is always constant, which makes it easy to find any term.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Patterns

Formulas

nth term of an arithmetic sequence: a_n = a_1 + (n - 1) * d

Theorems

Arithmetic Sequence Theorem

Suitable Grade Level

Grades 5-7