Question

What does i+i^2+i^3+......i^49 equal?

Answer 1

i + (-1) + (-i) + 1
i + i^2 + i^3 + i^4

hence i is the answer

Answer 2

i dont undertstand the question completely?

Answer 3

i don't get it

Answer 4

its a geometric series. its like:\[\sum_{k=1}^{49}i^k=i+i^2+i^3+i^4+\ldots+i^{47}+i^{48}+i^{49} \]There are 49 terms in the summation. Using the geometric formula will provide the answer.

Answer 5

ah i remember now..thanks