engineering recuitment NIC NIELIT Scientist B 2023 Mock Test Engineering Mathematics Combinatorics Generating Functions
What is the Generating function of the given expression where x ≤ 1?
\(3x + 3{x^4} + 3{x^7} + \;3{x^{10}} + \; \ldots \;\;\)
1
\(\frac{{3{x^2}}}{{\left( {1\; - \;{x^3}\;} \right)}}\)
2
\(\frac{{3{x^3}}}{{\left( {1\; - \;{x^2}\;} \right)}}\)
3
\(\frac{{3x}}{{\left( {1\; - \;{x^3}\;} \right)}}\)
4
\(\frac{3}{{\left( {1\; - \;{x^4}\;} \right)}}\)