Find the next 2 terms of the sequence satisfying the 6 recurrence relation X1= 0.1 , X2=0.2 and Xn+2= 0.2Xn + 0.3Xn+1 ?

1 Answer
Mar 12, 2018

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Explanation:

By given recurrence formula, we have (we write decimal coeficients in fraction form, in order to operate easily)

#x_3=2/10·x_1+3/10·x_2=2/10·1/10+3/10·2/10=2/100+6/100=8/100=0.08#
#x_4=2/10·x_2+3/10·x_3=2/10·2/10+3/10·8/100=4/100+24/1000=40/1000+24/1000=64/1000=0.064#