58 votes 58 votes If the ordinary generating function of a sequence $\left \{a_n\right \}_{n=0}^\infty$ is $\large \frac{1+z}{(1-z)^3}$, then $a_3-a_0$ is equal to ___________ . Combinatory gatecse-2017-set2 combinatory generating-functions numerical-answers normal + – Arjun asked Feb 14, 2017 retagged Dec 31, 2017 by Puja Mishra Arjun 17.5k views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments paraskk commented Jan 21, 2020 reply Follow Share can you please elaborate this sir ? 0 votes 0 votes Jaideep Singh commented Nov 25, 2022 reply Follow Share @KUSHAGRA गुप्ताbest solution 0 votes 0 votes Deepak Poonia commented Jun 21, 2023 reply Follow Share $\color{red}{\text{Detailed Video Solution:}}$ GATE 2017 Generating Function, Click HERE. $\color{red}{\text{Generating Function Complete Playlist,}}$ ALL GATE Questions, Extended Binomial Theorem: https://youtube.com/playlist?list=PLIPZ2_p3RNHiu4mkROrhREYsslvp2lL5l Knowing the “Extended Binomial Theorem” makes Generating Function topic extremely easy. Watch the above playlist to learn everything, with Proof & Variations. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes I solved it using extended binomial theorem PS: Babula Babu didnt teach this in this GATE lectures shashankrustagi answered Nov 27, 2020 shashankrustagi comment Share Follow See all 0 reply Please log in or register to add a comment.