Question

Match the following:

$\begin{array}{cc}\left(A\right)i^{1947}& \left(1\right)i\\ \left(B\right)i^{2000}& \left(2\right)-i\\ \left(C\right)i^{2014}& \left(3\right)1\\ \left(D\right)i^{589}& \left(4\right)-1\end{array}$

• A. A-2 B-3 C-1 D-4
• B. A-4 B-1 C-3 D-2
• C. A-2 B-3 C-4 D-1
• D. A-3 B-2 C-4 D-1

Answer 1

The correct option is C

A-2 B-3 C-4 D-1

$i^{1947}$ = $i^{(4N+3)}$ = $i^3$ = -i

$i^{2000}$ = $i^{4N}$ =1

$i^{2014}$ = $i^{(4N+2)}$ = $i^2$ = -1

$i^{589}$ = $i^{(4N+1)}$ = 1

So, A-2 B-3 C-4 D-1