In a certain sequence, the term x(n) is given by the formula x(n) = 2xn(n-1) - (1/2)(x(n-2)) for all n >= 2. If x(0) = 3 and x(1) = 2, what is the value of x(3)?
A) 2.5
B) 3.125
C) 4
D) 5
E) 6.75
OA: C
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In a certain sequence, the (OG16)
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boomgoesthegmat
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OptimusPrep
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Hi boomgoesthegmat,boomgoesthegmat wrote:In a certain sequence, the term x(n) is given by the formula x(n) = 2xn(n-1) - (1/2)(x(n-2)) for all n >= 2. If x(0) = 3 and x(1) = 2, what is the value of x(3)?
A) 2.5
B) 3.125
C) 4
D) 5
E) 6.75
OA: C
Can you please re check the question prompt. I feel there is a problem with the term " 2xn(n-1)"
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Jeff@TargetTestPrep
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We see thatboomgoesthegmat wrote:In a certain sequence, the term x(n) is given by the formula x(n) = 2xn(n-1) - (1/2)(x(n-2)) for all n >= 2. If x(0) = 3 and x(1) = 2, what is the value of x(3)?
A) 2.5
B) 3.125
C) 4
D) 5
E) 6.75
x(2) = 2(2) - (1/2)(3) = 4 - 1.5 = 2.5
So
x(3) = 2(2.5) - (1/2)(2) = 5 - 1 = 4
Answer: C
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