Download App

Model Paper 6 — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSModel Paper 61 Mark
MCQ
$\left\{C_0+3 C_1+5 C_2+\ldots+(2 n+1) C_n\right\}=?$
✓

Answer

(d) $( n +1) 2^{ n }$
Explanation: We have, $C _0+3 C _1+5 C _2+\ldots+(2 n +1) C _{ n }$
$\begin{array}{l}=\left(C_0+C_1+C_2+\ldots+C_n\right)+2\left(C_1+2 C_2+\ldots+n C_n\right) \\
=2^n+2\left(n \cdot 2^{n-1}\right)=(n+1) \cdot 2^n\end{array}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Model Paper 6→Model Paper 6 — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Which of the following points are 10 units from the origin:

→
The algebraic sum of the deviations of a set of value of a data from their mean is:
→
If A is the mean from which the mean deviation is taken, then the coefficient of mean deviation is :
→
If ${ }^{n-1} C _3+{ }^{n-1} C _4>{ }^n C _3$ then the value of $x$ is:
→

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,

  1. 4, 7
  2. 7, 4
  3. 4, 4
  4. 7, 7
→
The set of values of x which satisfy the inequations $5\text{x}+2<3\text{x}+8$ and $\text{x}+\frac{\text{x}+2}{\text{x}-1}<4$ is:
→
The number of irrational terms in the expansion of $\Big(4^{\frac{1}{5}}+7^{\frac{1}{10}}\Big)^{45}$ is:
→
If f : R → R and g : R → R are defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the values of x such that g(f(x)) = 8 are:
→
A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Which of the following may be considered as universal set for all the three sets A, B and C?
→

Let the perpendiculars from any point on the line 7x + 56y = 0 upon 3x + 4y = 0 and 5x - 12y = 0 be p and p, then:

→