# An algebra problem by Tan T

Algebra Level 3

$\dfrac 3{1 \times 2} \left( \dfrac 12 \right) + \dfrac 4{2 \times 3} \left( \dfrac 14 \right) + \dfrac 5{3 \times 4} \left( \dfrac 18 \right) + \cdots$

Find the sum of the first 9 terms of the summation above.

×