For every positive integer n, x, n^7 7 + n^6 5 + 2n^3 3 - x 105 i… - Vidyadip

MCQ

For every positive integer n, $\text{x},\frac{\text{n}^7}{7}+\frac{\text{n}^6}{5}+\frac{2\text{n}^3}{3}-\frac{\text{x}}{105}$ is:

A
an integer
✓
a rational number
C
a negative real number
D
an odd integer

✓

Answer

Correct option: B.

a rational number

b. a rational number

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 Principle of Mathematical Induction→Principle of Mathematical Induction — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $\sin \alpha = \frac{{336}}{{625}}$ and $450^\circ < \alpha < 540^\circ ,$ then $\sin \left( {\frac{\alpha }{4}} \right) = $

$\frac{{\sin \theta + \sin 2\theta }}{{1 + \cos \theta + \cos 2\theta }} = $

The sum of the series $1^2 + 3^2 + 5^2 + ...$ to $n$ terms is:

The smallest positive angle which satisfies the equation $2\sin^2\text{x}+\sqrt{3}\cos\text{x}+1=0$ is:

The line $\frac{x}{a} + \frac{y}{b} = 1$ moves in such a way that $\frac{1}{{{a^2}}} + \frac{1}{{{b^2}}} + \frac{1}{{2{c^2}}}$, where $a, b, c \in R_0$ and $c$ is constant, then locus of the foot of the perpendicular from the origin on the given line is -

If$\frac{{2x}}{{2{x^2} + 5x + 2}} > \frac{1}{{x + 1}}$, then

Choose the correct answer. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is.

If $\text{f(x)}=\frac{\sin^{4}\text{x}+\cos^2\text{x}}{\sin^2\text{x}+\cos^4\text{x}}$ for $\text{x}\in\text{R},$ then f(2002) =

Choose the correct answer.If $\sin\theta+\text{cosec}\theta=2,$ then $\sin^2\theta+\text{cosec}^2\theta$ is equal to:

The locus of the middle points of those chords of the circle ${x^2} + {y^2} = 4$ which subtend a right angle at the origin is