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Recent questions tagged generating-functions
0
votes
1
answer
1
Generating Functions
Çșȇ ʛấẗẻ
207
views
Çșȇ ʛấẗẻ
asked
May 11, 2023
Mathematical Logic
discrete-mathematics
kenneth-rosen
generating-functions
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–
2
votes
1
answer
2
GO Classes 2023 | IIITH Mock Test 1 | Question: 33
Which one of the following is a closed form expression for the generating function of the sequence $\{a_n\}$ where $a_n = \binom {n+4}{n}$ for $n= 0,1,2,\ldots ?$ $\frac{1}{(1-x)^5}$ $\frac{5}{(1-x)}$ $\frac{1}{(1-x)^4}$ $\frac{x}{(1-x)^5}$
Which one of the following is a closed form expression for the generating function of the sequence $\{a_n\}$ where $a_n = \binom {n+4}{n}$ for $n= 0,1,2,\ldots ?$$\frac{1...
GO Classes
545
views
GO Classes
asked
Mar 26, 2023
Combinatory
goclasses2023-iiith-mock-1
goclasses
combinatory
generating-functions
1-mark
+
–
0
votes
0
answers
3
kenneth h rosen chapter 6
What is the closed form for the generating function for the sequence : 0,1,-2,4,-8,16,-32,64,...
What is the closed form for the generating function for the sequence : 0,1,-2,4,-8,16,-32,64,...
Shivam_j
527
views
Shivam_j
asked
Dec 22, 2022
Combinatory
generating-functions
+
–
1
votes
1
answer
4
DRDO CSE 2022 Paper 1 | Question: 15
What is the generating function corresponding to Fibonacci series. \[F_{n}=F_{n-1}+F_{n-2} .\] Note that $F_{0}=F_{1}=1$.
What is the generating function corresponding to Fibonacci series.\[F_{n}=F_{n-1}+F_{n-2} .\]Note that $F_{0}=F_{1}=1$.
admin
471
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
generating-functions
6-marks
descriptive
+
–
1
votes
0
answers
5
DRDO CSE 2022 Paper 1 | Question: 16
Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee and $2$ rupee coins.
Let us say we have a supply of $1$ rupee and $2$ rupee coins in large quantities. What is the generating function for the number of ways of giving change with $1$ rupee a...
admin
375
views
admin
asked
Dec 15, 2022
Combinatory
drdocse-2022-paper1
combinatory
generating-functions
5-marks
descriptive
+
–
0
votes
0
answers
6
Engineering Mathematics
How the value of a1 = 3, a2 = 2 is calculated.
How the value of a1 = 3, a2 = 2 is calculated.
Overflow04
449
views
Overflow04
asked
Aug 25, 2022
Mathematical Logic
engineering-mathematics
generating-functions
test-series
+
–
3
votes
1
answer
7
GO Classes Scholarship 2023 | Test | Question: 7
Define the generating functions $\text{B}(x)=\displaystyle{} \sum_{n=0}^{\infty} 2^{n} x^{n}$ and $F(x)=\displaystyle{} \sum_{n=0}^{\infty} f_{n} x^{n}$ where $f_{n}$ ... $x^{5}$ is $\mathrm{G}(x)?$
Define the generating functions $\text{B}(x)=\displaystyle{} \sum_{n=0}^{\infty} 2^{n} x^{n}$ and $F(x)=\displaystyle{} \sum_{n=0}^{\infty} f_{n} x^{n}$ where $f_{n}$ is ...
GO Classes
631
views
GO Classes
asked
Aug 6, 2022
Combinatory
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
generating-functions
2-marks
+
–
26
votes
6
answers
8
GATE CSE 2022 | Question: 26
Which one of the following is the closed form for the generating function of the sequence $\{ a_{n} \}_{n \geq 0}$ defined below? $ a_{n} = \left\{\begin{matrix} n + 1, & \text{n is odd} & \\ 1, & \text{otherwise} & \end{matrix}\right.$ ... $\frac{2x}{(1-x^{2})^{2}} + \frac{1}{1-x}$ $\frac{x}{(1-x^{2})^{2}} + \frac{1}{1-x}$
Which one of the following is the closed form for the generating function of the sequence $\{ a_{n} \}_{n \geq 0}$ defined below?$$ a_{n} = \left\{\begin{matrix} n + 1, &...
Arjun
9.3k
views
Arjun
asked
Feb 15, 2022
Combinatory
gatecse-2022
combinatory
generating-functions
2-marks
+
–
1
votes
1
answer
9
TIFR CSE 2021 | Part A | Question: 11
Find the following sum. $\frac{1}{2^{2}-1}+\frac{1}{4^{2}-1}+\frac{1}{6^{2}-1}+\cdots+\frac{1}{40^{2}-1}$ $\frac{20}{41}$ $\frac{10}{41}$ $\frac{10}{21}$ $\frac{20}{21}$ $1$
Find the following sum.$$\frac{1}{2^{2}-1}+\frac{1}{4^{2}-1}+\frac{1}{6^{2}-1}+\cdots+\frac{1}{40^{2}-1}$$$\frac{20}{41}$$\frac{10}{41}$$\frac{10}{21}$$\frac{20}{21}$$1$
soujanyareddy13
632
views
soujanyareddy13
asked
Mar 25, 2021
Combinatory
tifr2021
combinatory
generating-functions
+
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