Complex Number Summation (Jee Mains) | ExamDuo
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Advanced Series
Hard
Complex Number Summation
Let i = √
-1
. If
(-1 + i√
3
)²¹
(1 - i)²⁴
+
(1 + i√
3
)²¹
(1 + i)²⁴
= K and n = [|k|] be the greatest integral part of |k|.
Then ,
∑
n + 5
j = 0
(j + 5)² -
∑
n + 5
j = 0
(j + 5) is equal to
SELECT ONE OPTION
A
310
B
320
C
340
D
380
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