Math Problem Statement

Find number of x 1- 18 10 6 4 x

Solution

It seems you're asking to find a missing number xx in the sequence:

1, 18, 10, 6, 4, xx.

To solve this, we need to check if there is a pattern that governs the sequence, like differences between consecutive terms or a ratio.

First, let's look at the differences between consecutive terms:

181=1718 - 1 = 17 1018=810 - 18 = -8 610=46 - 10 = -4 46=24 - 6 = -2

The differences between consecutive terms form a decreasing pattern: 17,8,4,217, -8, -4, -2.

If this pattern continues, the next difference might be 1-1, so:

x4=1x - 4 = -1

Thus, solving for xx:

x=41=3x = 4 - 1 = 3

So, the missing number xx is 3.

Would you like further details or have any questions?

Here are 5 related questions to expand on this concept:

  1. What is an arithmetic sequence, and how is it different from other sequences?
  2. How can we predict patterns in sequences with alternating positive and negative terms?
  3. Can we find a general formula for a sequence like this one?
  4. How do geometric sequences differ from arithmetic sequences?
  5. What is the sum of an arithmetic sequence, and how can we calculate it?

Tip: When identifying patterns in sequences, always check for constant differences (arithmetic) or constant ratios (geometric).

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Math Problem Analysis

Mathematical Concepts

Sequences
Arithmetic Progression
Pattern Recognition

Formulas

Difference between consecutive terms: d_n = a_{n+1} - a_n

Theorems

Arithmetic Sequence Theorem
Pattern-based Problem Solving

Suitable Grade Level

Grades 6-8