engineering recuitment GATE CSE 2023-24 Test Series Engineering Mathematics Combinatorics Generating Functions
Find the generating function for the sequence 1, -1, 2, -2, 3, -3, 4, -4, 5 …?
1
\(\frac{1}{{\left( {1 - x} \right)\left( {1 + {x^2}} \right)}}\)
2
\(\frac{1}{{\left( {1 + x} \right){{\left( {1 - x} \right)}^2}}}\)
3
\(\frac{1}{{{{\left( {1 + x} \right)}^2}\left( {1 - x} \right)}}\)
4
\(\frac{1}{{{{\left( {1 - x} \right)}^2}\left( {1 - x} \right)}}\)