Engineering Mathematics Combinatorics Generating Functions

The solution of the recurrence relation a_r= a_r-1 + 2a_r-2 with a₀= 2, a₁= 7 is

1

a_r= (3)^r + (1)^r

2

2a_r= (2)^r/3 –(1)^r

3

a_r= 3^r+1 – (-1)^r

4

a_r= 3(2)^r – (-1)^r

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