Download App

Model Paper 7 — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsModel Paper 71 Mark
MCQ
$\sum_{r=0}^n 4^r .^n C_r$ is equal to
  • A
    $6^n$
  • B
    $5^{-n}$
  • C
    $4^n$
  • ✓
    $5^n$
✓

Answer

Correct option: D.
$5^n$
$\sum_{r=0}^n 4^r .^n C_r=4^0 \cdot n C_0+4^1 \cdot n C_1+4^2{ }^n C_2+\ldots+4^n \cdot{ }^n C_n$
$=1+4 \cdot{ }^n C_1+4^2 \cdot{ }^n C_2+\ldots .+4^n \cdot{ }^n C_n$
$=(1+4)^n$
$=5^n$

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 7→Model Paper 7 — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Constant term in the expansion of $\Big(\text{x}-\frac{1}{\text{x}}\Big)^{10}$ is:
→
If $a + ib = c + id,$ then:
→
$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} \right| = $
→
The eccentricity of the ellipse $25{x^2} + 16{y^2} - 150x - 175 = 0$ is
→
Which of the following is true for a plane:
→
What is converse for statement if $p$ then $q?$
→
The number of ways of selecting $15$ teams from $15$ men and $15$ women, such that each team consists of a man and a woman, is
→
The negation of the statement. $“7$ is greater than $8”$ is.
→
$\frac{{\cos 9^\circ + \sin 9^\circ }}{{\cos 9^\circ - \sin 9^\circ }} = $
→
Let $\omega$ be a cube root of unity not equal to 1 . Then, the maximum possible value of $\left| a +b \omega+c \omega^2\right|$, where $a, b, c \in\{+1,-1\}$ is
→