$1+\frac{4}{15}+\frac{4.10}{15.30}+\frac{4.10 .16}{15.30 .45}+\ldots \quad \infty=$

• A

  $\left(\frac{3}{5}\right)^{2 / 3}$
• Correct answer
  B

  $\left(\frac{5}{3}\right)^{2 / 3}$
• C

  $\left(\frac{3}{5}\right)^{3 / 2}$
• D

  $\left(\frac{5}{3}\right)^{3 / 2}$

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