Math Problem Statement

Given the sequence: 422, 1,266, 1,280, 3,840, which of the following options completes the pattern? A: 164, 178, 206 B: 122, 136, 408 C: 136, 408, 173 D: 122, 408, 194 E: 124, 118, 194

Solution

The image contains a sequence:

422,1,266,1,280,3,840422, 1,266, 1,280, 3,840

and asks for the next set of numbers from multiple choices:

  • A: 164, 178, 206
  • B: 122, 136, 408
  • C: 136, 408, 173
  • D: 122, 408, 194
  • E: 124, 118, 194

This appears to be a pattern recognition problem, likely involving either arithmetic, geometric sequences, or some other mathematical rule. Let me analyze this pattern and check the options.


The sequence given involves jumps that might suggest multiplication or a combination of operations. I'll compute differences and ratios to identify the rule before proceeding to compare the provided options.

I'll work through this now.

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Math Problem Analysis

Mathematical Concepts

Pattern recognition
Arithmetic sequences
Geometric sequences

Formulas

Arithmetic sequence: a_n = a_1 + (n - 1) * d
Geometric sequence: a_n = a_1 * r^(n-1)

Theorems

Arithmetic progression
Geometric progression

Suitable Grade Level

Grades 9-12