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Find the missing value in the pattern: 3 = 27, 4 = 32, 5 = 35, 6 = 36, 8 = ??
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Step-by-step solution
4 stepsAnalyze the given equations to find the pattern.
Let the number on the left side be and the number on the right side be .
For the first equation:
We can see that .For the second equation:
We can see that .For the third equation:
We can see that .For the fourth equation:
We can see that .Identify the relationship between and the multiplier.
Let the multiplier be .
When , .
When , .
When , .
When , .The multiplier is decreasing by 1 each time increases by 1.
We can express in terms of . Notice that for all cases:
So, the multiplier can be written as .Apply the pattern to find the missing value for .
Here, .
First, find the multiplier :Now, multiply by to find the right-hand side value:
The missing value is 32.
Compare the result with the given options.
A. 40
B. 32
C. 35
D. 37The calculated value is 32, which matches option B.
The final answer is .
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