Home
Class 12
MATHS
Let |Z(r) - r| le r, Aar = 1,2,3….,n. Th...

Let `|Z_(r) - r| le r, Aar = 1,2,3….,n`. Then `|sum_(r=1)^(n)z_(r)|` is less than

A

n

B

2n

C

n(n+1)

D

`(n(n+1))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate sum_(r=1)^(n)rxxr!

sum_(r=1)^n(2r+1)=...... .

Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is

If t_(1)=1,t_(r )-t_( r-1)=2^(r-1),r ge 2 , find sum_(r=1)^(n)t_(r ) .

Find the remainder when sum_(r=1)^(n)r! is divided by 15, if n ge5 .

Let z_(r),r=1,2,3,...,50 be the roots of the equation sum_(r=0)^(50)(z)^(r)=0 . If sum_(r=1)^(50)1/(z_(r)-1)=-5lambda , then lambda equals to

Prove that sum_(r=0)^n 3^r n Cundersetr = 4^n .

Let a_(n) be the nth term of an AP, if sum_(r=1)^(100)a_(2r)=alpha " and "sum_(r=1)^(100)a_(2r-1)=beta , then the common difference of the AP is

If alpha_(1), alpha_(2), alpha_(3), beta_(1), beta_(2), beta_(3) are the values of n for which sum_(r=0)^(n-1)x^(2r) is divisible by sum_(r=0)^(n-1)x^(r ) , then the triangle having vertices (alpha_(1), beta_(1)),(alpha_(2),beta_(2)) and (alpha_(3), beta_(3)) cannot be

Equation x^(n)-1=0,ngt1,ninN, has roots 1,a_(1),a_(2),...,a_(n),. The value of sum_(r=2)^(n)(1)/(2-a_(r)), is