The value of 1 + i 2 + i 4 + i 6 + ... + i 2n is :
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
The value of 1 + i2 + i4 + i6 + ... + i2n is :
- positive
- negative
- zero
- cannot be determined
Answer
(D) cannot be determined
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The number of real roots of the equation, e^ 4 x +e^ 3 x -4 e^ 2 x +e^ x +1=0
- If one root of quadratic equation ax 2 + bx + c = 0 is equal to nth power of the root, then value of (a c^ n…
- Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always
- If both the roots of the quadratic equation x 2 – 2kx + k 2 + k – 5 = 0 are less than 5, then k lies in the…
- If x+i y = (a+i b) , then -x-i y is equal to
- If a _ 1 are the roots of the equation ax 2 + bx + c = 0, then a +b + a +b is equal to
- If is complex cube root of unity and a, b, c are three real numbers such that array l 1 a+ + 1 b+ + 1 c+ =2 ^…
- If ω is a non-real cube root of unity, then the expression (1–ω) (1–ω 2 ) (1+ω 4 ) (1+ω 8 ) is equal to
More Complex Numbers and Quadratic Equations questions · Browse all practice questions