Let P ₀=(3,1) and define P _ n +1 = ( x _ n , y _ n ) for n 0 by x_ n+1 =- 3 x_n-y_n 2 , y_ n+1 =- x_n+y_n 2 Find the area of the quadrilateral formed by the points P ₉₆, P ₉₇, P ₉₈, P ₉₉ .

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Quantrex Academy · Accepted Answer

Correct answer: 8

aligned & P (3,1) & P ₁ (-4,-2) & P ₂ (5,3) & P ₃ (-6,-4) aligned from shifting aligned area & = 1 2 | array llll 3 & 5 & -4 & -63 1 & 3 & -2 & -41 array | & 1 2 (9-5-10+12+16-12-6+12) & =8 Ans. aligned

Let P ₀=(3,1) and define P _ n +1 = ( x _ n , y _ n ) for n 0 by x_ n+1 =- 3 x_n-y_n 2 , y_ n+1 =- x_n+y_n 2 Find the area of the quadrilateral formed by the points P ₉₆, P ₉₇, P ₉₈, P ₉₉ .

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