For all positive integers, let k* be defined by k* = (k-1)(k+2) . Which of the following is equal to 3*+4*?
Question
For all positive integers, let k* be defined by k* = (k-1)(k+2) . Which of the following is equal to 3*+4*?
Solution
To solve this problem, we first need to understand what the operation "" means. According to the problem, k is defined as (k-1)(k+2).
So, let's calculate 3* and 4* separately:
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For 3*, we substitute k = 3 into the equation, so we get (3-1)(3+2) = 2*5 = 10.
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For 4*, we substitute k = 4 into the equation, so we get (4-1)(4+2) = 3*6 = 18.
The problem asks for the sum of 3* and 4*, so we add the results together: 10 + 18 = 28.
Therefore, 3* + 4* equals 28.
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