KCET2008MathematicsComplex Number
The value of _ k=1 ⁶ ( 2 k 7 -i 2 k 7 ) is
Options
- Ai
- B0
- C- i
- D-1
Correct answer
A. i
Step-by-step solution
_ k=1 ⁶ ( 2 k 7 -i 2 k 7 ) =-i _ k=1 ⁶ ( 2 k 7 +i 2 k 7 ) aligned &=- i _ k =1 ⁶ ^ k ( where = 2 k 7 + i 2 k 7 ) &=- i ( (1- ⁶ ) 1- )=- i ( - ⁷ 1- ) &=- i ( -1 1- )= i aligned