JEE Main & Advanced
Mathematics
Sequence & Series
Question Bank
Numerical Value Type Questions - Sequences and Series
question_answer
The value of \[\sum\limits_{k=1}^{10}{\left( \sin \frac{2k\pi }{11}+i\cos \frac{2k\pi }{11} \right)}\] is of the form \[{{i}^{k}},\] where k is smallest natural number, then k is