Math Problem Statement
Osserva la seguente tabella a doppia entrata e cerca di capire come è stata costruita. Quale numero devi inserire per completare la tabella?
Solution
The image shows a table with double entries (labeled X and Y) where you are asked to find the missing number based on a pattern. Here's the provided table structure:
Y \backslash X & 1 & 2 & 3 \\ \hline 1 & 1 & 1 & 1 \\ 2 & 2 & 4 & 8 \\ 3 & 3 & 9 & ? \\ \end{array}$$ We are tasked with finding the missing value in the position where $$Y = 3$$ and $$X = 3$$. ### Observing the pattern: - In the row where $$Y = 1$$, all values are 1. - In the row where $$Y = 2$$, the values follow the pattern $$2^X$$. Specifically, $$2^1 = 2$$, \(Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Pattern Recognition
Powers of Numbers
Basic Algebra
Formulas
Exponential pattern based on row index: 2^X for Y = 2, 3^X for Y = 3
Theorems
-
Suitable Grade Level
Grades 5-7