engineering recuitment NIC NIELIT Scientist B 2023 Mock Test Engineering Mathematics Combinatorics Generating Functions
Which of the following is closed form expression for the generating function of the sequence {an} where \({a_n} = 5n + 2\) for all n = 0, 1, 2, 3, …?
1
\(\frac{{5x + 1}}{{{{\left( {1 - x} \right)}^2}}}\)
2
\(\frac{{3x + 1}}{{{{\left( {1 - x} \right)}^2}}}\)
3
\(\frac{{3x + 2}}{{{{\left( {1 - x} \right)}^2}}}\)
4
\(\frac{{5x + 2}}{{{{\left( {1 - x} \right)}^2}}}\)