If $1, \omega, \omega^2$ are the cube roots of unity, then $1\left(2+\frac{1}{\omega}\right)\left(2+\frac{1}{\omega^2}\right)+2\left(3+\frac{1}{\omega}\right)\left(3+\frac{1}{\omega^2}\right)+3\left(4+\frac{1}{\omega}\right)\left(4+\frac{1}{\omega^2}\right)+\ldots 10 \text { terms }=$

• A

  $3080$
• Correct answer
  B

  $3465$
• C

  $3175$
• D

  $3715$

Hence, the correct answer is option: 'B'.