Question

The value of $\frac{i^{592}+i^{590}+i^{588}+i^{586}+i^{584}}{i^{582}+i^{580}+i^{578}+i^{576}+i^{574}}$ - 1 =

• A. -1
• B. -2
• C. -3
• D. -4

Answer 1

The correct option is B

-2

$\frac{i^{584}(i^8+i^6+i^4+i^2+1)}{i^{574}(i^8+i^6+i^4+i^2+1)}$ - 1 = $\frac{i^{584}}{i^{574}}$ - 1

= $i^{10}$ - 1 = -1-1 = -2