# New Year Countdown - 2 !!!

Algebra Level 5

Find the sum of the following series :-

$$\frac{1^{4}}{1.3} + \frac{2^{4}}{3.5} + \frac{3^{4}}{5.7} + .......... + T_{n}$$

=> Here u.v denotes u*v.

=> Find the sum of first 12 terms.

=> The answer can be expressed in the form of $$\frac{a}{b}$$ where a and b are co-prime integers. FIND a + b.

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