the generating function for generating sequence 1,2,3,4,5,....... is
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Assume the generating function
f(x)=a0+a1x+a2x2+a3x3+......(i)
But, the given sequence is (1,2,3,4).Using this sequence, the expression (1) becomes
f(x) =1+2x+3x2+4x3+.....=(1−x)−2
Accordingly, f(x)=(1−x)−2 is the generating function for the given sequence (1,2,3,4).
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