Question

Ifx + = -2 andna positive integer, then the 1 value ofr2n+1 + ? x2n+1​

Answer 1

Solution

Correct option is C)

Let Z=

2

i

4n+1

−i

4n−1

=

2

[i

4n−1

.i

2

]−i

4n−1

=

2

i

4n−1

(i

2

−1)

=

2

i

4n−1

(−1−1)

…(i

2

=−1)

=−(i)

4n−1

=−(i)

4n

.i

−1

=

i

−i

4n

=

i

−(i

4

)

n

=

i

−(1)

n

…(i

4

=1)

=

i

−1

Now, multiplying numerator and denominator by i. We get,

=

i

2

−i

=

−1

−i

∴Z=i