>
Exams
>
Mathematics
>
Binomial theorem
>
in the expansion of frac c 1 c 0 2 frac c 2 c 1 3
Question:
In the expansion of $\frac{C_1}{C_0} + 2\frac{C_2}{C_1} +3\frac{C_3}{C_2}+…………… n \frac{C_{n}}{C_{n-1}}$ is equal to
KCET
Updated On:
Apr 10, 2025
$ \frac {n(n+1)}2$
$\frac {n}2 $
$\frac {n+1}2 $
$ 3n(n+1)$
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The correct answer is Option (A) : $ \frac {n(n+1)}2$
Download Solution in PDF
Was this answer helpful?
1
0
Top Questions on Binomial theorem
If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
KCET - 2025
Mathematics
Binomial theorem
View Solution
A radar system can detect an enemy plane in one out of ten consecutive scans. The probability that it can detect an enemy plane at least twice in four consecutive scans is:
AP EAPCET - 2025
Mathematics
Binomial theorem
View Solution
A string of letters is to be formed by using 4 letters from all the letters of the word “MATHEMATICS”. The number of ways this can be done such that two letters are of same kind and the other two are of different kind is
AP EAPCET - 2025
Mathematics
Binomial theorem
View Solution
The number of trials conducted in a binomial distribution is 6. If the difference between the mean and variance of this variate is \(\frac{27}{8}\), then the probability of getting at most 2 successes is:
AP EAPCET - 2025
Mathematics
Binomial theorem
View Solution
The number of ways of dividing 15 persons into 3 groups containing 3, 5 and 7 persons so that two particular persons are not included into the 5 persons group is
AP EAPCET - 2025
Mathematics
Binomial theorem
View Solution
View More Questions
Questions Asked in KCET exam
Which of the following methods of expressing concentration are unitless?
KCET - 2025
Expressing Concentration of Solutions
View Solution
The correct statement/s about Galvanic cell is/are:
(a) Current flows from cathode to anode
(b) Anode is positive terminal
(c) If \(E_{\text{cell}} < 0\), then it is spontaneous reaction
(d) Cathode is positive terminal
KCET - 2025
Electrochemistry
View Solution
A member of the Lanthanoid series which is well known to exhibit +4 oxidation state is
KCET - 2025
Classical Idea Of Redox Reactions – Oxidation And Reduction Reactions
View Solution
A potential at a point A is 3 V and that at another point B is 5 V. What is the work done in carrying a charge of 5 mC from B to A?
KCET - 2025
Electric Field
View Solution
A square loop of side 2 m lies in the Y-Z plane in a region having a magnetic field \(\mathbf{B} = (5 \hat{i} - 3 \hat{j} - 4 \hat{k}) \, \text{T}\). The magnitude of magnetic flux through the square loop is
KCET - 2025
Magnetic Field
View Solution
View More Questions