If n is a natural number,then...

If n is a natural number,then

A

`1^2+2^2+....+n^2ltn^3/3`

B

`1^2+2^2+....+n^2=n^3/3`

C

`1^2+2^2+....+n^2gtn^3`

D

`1^2+2^2+....+n^2gtn^3/3`

Text Solution

Verified by Experts

Topper's Solved these Questions

MOCK TEST 2
KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos
MOCK TEST 4
KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos

Similar Questions

Explore conceptually related problems

If n is a natural number,the sqrt(n) always a natural number always an irrational number always an irrational number somexx a natural number and somexx an irrational number

If the sum of the digits of a number (10^(n)-1) is 4707, where n is a natural number,then the value of n is :

If n+20 and n-21 are both perfect squares when n is a natural number,then find n-400.

If n is a natural numbers then 25^(2n)-9^(2n) is always divisible by

If A = {4n+ 2| n is a natural number} and B = {3n|n is a natural number}, then what is (A nn B) equal to?

If n is any natural number, then 9^(n)-5^(n) ends with

If n is any natural number, then 5^(2n)-1 is always divisible by how many natural numbers ?

If a and b are non-zero rational numbers and n is a natural number then (a^(n))/(b^(n))=((a)/(b))^(n)

Fourth law if ab are non -zero rational numbers and n is a natural number then *a^(^^)n=(ab)^(^^)n

KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 b. 2 c. 2s...
Text Solution
|
A function phi(x) satisfies the functional equation x^2phi(x) + phi(1-...
Text Solution
|
If n is a natural number,then
Text Solution
|
Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...
Text Solution
|
Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...
Text Solution
|
For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+.......
Text Solution
|
If a, b and c are distinct positive numbers, then the expression (a + ...
Text Solution
|
The general value of theta satisfying the equation 2sin^(2)theta-3sint...
Text Solution
|
For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...
Text Solution
|
If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...
Text Solution
|
If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then
Text Solution
|
The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...
Text Solution
|
A person goes to office either by car, scooter, bus or train probabili...
Text Solution
|
The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...
Text Solution
|
If x,y andz are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6...
Text Solution
|
A variable point P on the ellipse of eccentricity e is joined to the f...
Text Solution
|
Letz,z0be two complex numbers z0being the cojugate of z0. The numbers ...
Text Solution
|
A person throws dice, one the common cube and the other reglowest tera...
Text Solution
|
The integers x,y and z each are perfect squares and x>y>z>0.If x,y,z f...
Text Solution
|
let A1,A2,A3,...An are the vertices of a regular n sided polygon inscr...
Text Solution
|