On the Rational Recursive Sequence <svg style="vertical-align:-5.01668pt;width:308.63751px;" id="M1" height="21.525" version="1.1" viewBox="0 0 308.63751 21.525" width="308.63751"  xmlns="http://www.w3.org/2000/svg">
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				<tspan style="font-size: 17.93px; " x="37.318573" y="0">−</tspan>
				<tspan style="font-size: 17.93px; " x="53.601738" y="0">𝛽</tspan>
				<tspan style="font-size: 17.93px; " x="63.608353" y="0">𝑥</tspan>
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			<text transform="matrix(1,0,0,-1,37.98,55.34)">
				<tspan style="font-size: 12.55px; " x="0" y="0">𝑛</tspan>
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				<tspan style="font-size: 17.93px; " x="16.928753" y="0">𝛾</tspan>
				<tspan style="font-size: 17.93px; " x="30.019842" y="0">−</tspan>
				<tspan style="font-size: 17.93px; " x="46.285072" y="0">𝛿</tspan>
				<tspan style="font-size: 17.93px; " x="55.30537" y="0">𝑥</tspan>
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International Journal of Mathematics and Mathematical Sciences

fig5

Figure 5

Figure 5: On the Rational Recursive Sequence <svg style="vertical-align:-5.01668pt;width:308.63751px;" id="M1" height="21.525" version="1.1" viewBox="0 0 308.63751 21.525" width="308.63751"  xmlns="http://www.w3.org/2000/svg">
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				<tspan style="font-size: 12.55px; " x="14.837646" y="0">1</tspan>
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				<tspan style="font-size: 17.93px; " x="37.318573" y="0">−</tspan>
				<tspan style="font-size: 17.93px; " x="53.601738" y="0">𝛽</tspan>
				<tspan style="font-size: 17.93px; " x="63.608353" y="0">𝑥</tspan>
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			<text transform="matrix(1,0,0,-1,37.98,55.34)">
				<tspan style="font-size: 12.55px; " x="0" y="0">𝑛</tspan>
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			<text transform="matrix(1,0,0,-1,44.72,59.83)">
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				<tspan style="font-size: 17.93px; " x="30.019842" y="0">−</tspan>
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				<tspan style="font-size: 17.93px; " x="55.30537" y="0">𝑥</tspan>
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Figure 5 | On the Rational Recursive Sequence 
	
		
			
				𝑥
			

			
				𝑛
				+
				1
			

			
				=
				(
				𝛼
				−
				𝛽
				𝑥
			

			
				𝑛
			

			
				)
				/
				(
				𝛾
				−
				𝛿
				𝑥
			

			
				𝑛
			

			
				−
				𝑥
			

			
				𝑛
				−
				𝑘
			

			
				)
			

		
	
 

International Journal of Mathematics and Mathematical Sciences

On the Rational Recursive Sequence 𝑥 𝑛 + 1 = ( 𝛼 − 𝛽 𝑥 𝑛 ) / ( 𝛾 − 𝛿 𝑥 𝑛 − 𝑥 𝑛 − 𝑘 )

Figure 5

On the Rational Recursive Sequence