જો $(1+x)^{n}$ ના વિસ્તરણમાં $C_0, C_1, C_2, \ldots, C_{n}$ દ્વિપદી સહગુણકો હોય,તો $(C_0+C_1)-(C_2+C_3)+(C_4+C_5)-(C_6+C_7)+\ldots=$

• A
  $2^{n/2} \left(\cos \frac{n\pi}{4} + i \sin \frac{n\pi}{4}\right)$
• B
  $2^{n/2} \left(\cos \frac{n\pi}{3} + \sin \frac{n\pi}{3}\right)$
• C
  $2^{n/2} \left(\cos \frac{n\pi}{3} + i \sin \frac{n\pi}{3}\right)$
• D
  $2^{n/2} \left(\cos \frac{n\pi}{4} + \sin \frac{n\pi}{4}\right)$