Question

simplify this one... it's quite urgent... thank you​

Answer 1

${i}^{2} + {i}^{3} + {i}^{4} + {i}^{5} ...... + {i}^{51}$

$= (- 1 - i + 1 + i) + ( - 1 - i + 1 + i) + ...... + ( - 1 - i)$

$= - 1 - i$