Question

$$\frac { 2 ^ { n + 1 } \cdot 3 ^ { 2 n + 1 } \cdot 5 ^ { n + 4 } \cdot 6 ^ { n } } { 6 ^ { n } \cdot 10 ^ { n - 2 } \cdot 15 ^ { n } }$$

Evaluate

$\frac{375000\times 90^{n}}{150^{n}}$

Differentiate w.r.t. n

$\frac{375000\ln(\frac{3}{5})\times 3^{2n}\times 10^{n}}{150^{n}}$