3
You visited us
3
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Greatest Binomial Coefficients
Find the gene...
Question
Find the generating functions of the series
1
−
3
x
+
5
x
2
−
7
x
3
+
9
x
4
−
11
x
5
+
.
.
.
.
Open in App
Solution
S
=
1
−
3
x
+
5
x
2
−
7
x
3
+
9
x
4
.
.
.
.
.
.
.
x
S
=
x
−
3
x
2
+
5
x
3
−
7
x
4
+
9
x
5
.
.
.
.
.
.
S
(
1
+
x
)
=
1
−
2
x
+
2
x
2
−
2
x
3
+
2
x
4
−
2
x
5
.
.
.
.
.
.
.
.
Upto infinity
S
(
1
+
x
)
=
1
+
2
(
−
2
x
)
+
2
(
−
2
x
)
2
+
2
(
−
x
)
3
+
2
(
−
x
)
4
Upto infinity
=
1
+
2
(
(
−
x
)
+
(
−
x
)
2
+
(
−
x
)
3
)
Upto infinity
=
1
+
2
(
a
+
a
r
+
a
r
2
+
.
.
.
.
.
.
.
)
=
1
+
2
(
a
1
−
r
)
=
1
+
2
(
−
x
1
+
x
)
S
(
H
x
)
=
1
−
x
1
+
x
S
=
1
−
x
(
1
+
x
)
2
Suggest Corrections
0
Similar questions
Q.
Find whether the following series are convergent or divergent:
1
+
3
x
+
5
x
2
+
7
x
3
+
9
x
4
+
.
.
.
.
.
Q.
Find the generating function and the general term of the following series:
2
−
x
+
5
x
2
−
7
x
3
+
.
.
.
.
.
Q.
Sum
1
+
3
x
+
5
x
2
+
7
x
3
+
9
x
4
+
.
.
.
.
to infinity.
Q.
Sum
1
+
3
x
+
5
x
2
+
7
x
3
+
9
x
4
+
.
.
.
.
.
to infinity is
(
x
<
1
)
Q.
Find the generating function and the general term of the following series:
2
+
3
x
+
5
x
2
+
9
x
3
+
.
.
.
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Visualising the Terms
MATHEMATICS
Watch in App
Explore more
Greatest Binomial Coefficients
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app