4. For all positive integers, let k* be defined by k* = (k-1)(k+2) . Which of the following is equal to 3*+4*?4*5*6*7*
Question
For all positive integers, let k* be defined by k* = (k-1)(k+2). Which of the following is equal to 3* + 4*?
4567
Solution
The question is asking for the value of 3* + 4*. According to the definition given, k* = (k-1)(k+2).
So, we can substitute k with 3 and 4 to find the values of 3* and 4* respectively.
For 3*, substitute k with 3 in the equation: 3* = (3-1)(3+2) = 2*5 = 10
For 4*, substitute k with 4 in the equation: 4* = (4-1)(4+2) = 3*6 = 18
Therefore, 3* + 4* = 10 + 18 = 28.
So, the answer is 28.
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