If x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x, inclusive. What is f(51) – f(50)?
A. (51)50!
B. (50^2)49!
C. 50
D. 1
E. 0
Answer: E
Source: Kaplan
If x is an integer greater than 2, the function f(x) represents
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The key here is that f(51) is EQUAL to f(50)BTGModeratorVI wrote: ↑Sun Feb 23, 2020 6:55 amIf x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x, inclusive. What is f(51) – f(50)?
A. (51)50!
B. (50^2)49!
C. 50
D. 1
E. 0
Answer: E
Source: Kaplan
Here's why:
According to the definition of the function f, f(51) = (2)(4)(6). . . (48)(50), and f(50) = (2)(4)(6). . . (48)(50)
So, f(51) - f(50) = [(2)(4)(6). . . (48)(50)] - [(2)(4)(6). . . (48)(50)]
= 0
Answer: E
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Since both f(51) and f(50) are the product of all even integers from 2 to 50, inclusive, the difference between f(51) and f(50) is 0.BTGModeratorVI wrote: ↑Sun Feb 23, 2020 6:55 amIf x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x, inclusive. What is f(51) – f(50)?
A. (51)50!
B. (50^2)49!
C. 50
D. 1
E. 0
Answer: E
Source: Kaplan
Answer: E
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