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About LinkBacksIn a certain sequence, the term xn is given by the formula x^n=2x^n-1 – ½ (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
The answer is 4, does anyone know how to solve this problem?
In a certain sequence, the term xn is given by the formula x^n=2x^n-1 – ½ (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
The answer is 4, does anyone know how to solve this problem?
Does x^n mean x to the power of n ? because that doesnt sound right ... or does x^n means "nth term) more line Xn
let me know.
~|Guardian|
I am an instructor on ScoreChase GMAT Crash Course . I also provide GMAT Private Tutoring sessions.
ITS 4
From the information given in the question, calculate x^2;
x^2= 2x^(2-1) - (0.5) x^(2-2); next
= 2x^1- (0.5) x^0; next
= 2*2- (0.5)*3
x^2 = 2.5
Now solve for x^3
x^3= 2 x^(3-1) - (0.5) x^(3-2); next
= 2*2.5 - (0.5)*2; next
x^3= 4
Hope this helps!
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