Home
Class 11
MATHS
The sum of i-2-3i+4 cdots upto100 terms...

The sum of i-2-3i+4 `cdots ` upto100 terms where i=`sqrt(-1)` is

A

50(1-i)

B

25 i

C

25(1+i)

D

100 (1-i)

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of the rational terms in the expansion of (sqrt(2)+3^((1)/(5)))^(10)

If S = (2^(2)-1)/(2)+(3^(2)-2)/(6)+(4^(2)-3)/(12)+ cdots upto 10 terms then S is equal to

Let a_(1), a_(2), cdots and b_(1), b_(2) cdots be arithmetic progression such that a_(1) = 25, b_(1) = 75 and a_(100) + b_(100) = 100 , then the sum of first hundred terms of the progression a_(1) + b_(1), a_(2) + b_(2), cdots is

If S denotes the sum to infinity and S_(n) , denotes the sum of n terms of the series 1+(1)/(2)+(1)/(4) + (1)/(8)+ cdots , such that S-S_(n) lt (1)/(100) , then the least value of n is

The modulus of sqrt2i- sqrt(-2)i is

If iz^(3)+z^(2)-z+i=0 , where i= sqrt-1 then |z| is equal to

The largest term common to the sequences 1, 11, 21, 31, cdots to 100 terms and 31, 36, 41, 46, cdots to 100 term is

Let A, be the sum of the first n terms of the geometric series 704 + (704)/(2) +(704)/(4) +(704)/(8)+ cdots and B_(n) , be the sum of the first n terms of the geometric series 1984 - (1984)/(2) + (1984)/(4) -(1984)/(8) + cdots If A_(n), =B_(n) , then the value of n is (where n in N).

Prove by mathematical induction. (costheta +i sintheta)^n=(cosntheta+isinntheta), where i=sqrt(-1)