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9 stepsHere's how to solve the pattern problems:
First, let's identify the pattern from the given examples.
The pattern relates the numbers in the circle (Top, Left, Right) to the number in the square.
Let be the Left number, be the Top number, and be the Right number in the circle. Let be the number in the square.
From the first example:
Circle: , ,
Square:
The formula given is: .
This simplifies to . This matches.
From the second example:
Circle: , ,
Square:
The formula given is: .
This simplifies to . This matches.
Note: The formula uses the integer parts of the mixed numbers from the circle. For problems 3 and 4, all numbers are integers.
The general pattern is:
:
Apply the pattern formula.
Simplify the sum inside the parenthesis.
Take the square root of both sides.
Solve for for both positive and negative roots.
Case 1:
Case 2:
Choose the correct option.
The options are A. 6, B. 12, C. 20, D. 14, E. 17.
Since 20 is an option, and the numbers in the examples are positive, we select .The answer for is .
:
Apply the pattern formula.
Take the square root of both sides.
Solve for for both positive and negative roots.
Case 1:
Case 2:
Choose the correct option.
The options are A. 7, B. 11, C. 14, D. 15, E. 20.
Since 7 is an option, we select .The answer for is .
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