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# Ø´Ø±Ø­A1 - Seque

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Unformatted text preview: Sequences : Sequences Arithmetic-1 geometric -2 linear -3 long term behavior -4 Arithmetic : X n = a + (n - 1)d n = 1, 2,...... X n = a + nd n = 0,1, 2,..... :: ..................................... ,Find X10 if we have 4.4, 4.1, 3.8 a : a =4.4 ( D) : D= 4.1 -4.4=-0.3 d a X1 X0 X10 X1 X n = 4.4 + [ (10 - 1) - 0.3] = 1.7 geometric : .....................2,4,8,16 A=2 ar=4 ar^2=8 (ar^(n-1=...... : X n = ar n -1 n = 1, 2,3....... X n = ar n n = 0,1, 2,.......... : ........Find X8 if 4,8,16 a : A= 4 r : r= 8 =2 4 linear : linear geometric Arithmetic d n -1 d Xn = + a * r - r -1 r -1 n = 1, 2,3,........... d d n Xn = + a * r - r -1 r -1 n = 0,1, 2,................ : Find the line seq X1=4 Xn+1=- Xn+3 2 : : X1 a : a : : A=4 ( Xn ) Xn r : : R=-2 ( r* Xn ) Xn d : : D=3 long term behavior : r >> r n 1 as n 0 < r <1 as n rn 0 : .....,X1=0 Xn+1=3Xn+1 n=1,2 linear geometric Arithmetic ...,n=1,2 X1 linear d n -1 d Xn = 1+ X * r - r -1 r -1 1 1 X n = + r n -1 - 0 * 2 2 n 1 2 3 31 n n ...
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## This note was uploaded on 11/24/2010 for the course ITC MST121 taught by Professor Ou during the Spring '10 term at The Open University.

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