A weird Series
Algebra
Level
3
\[{S_{n}=1+\dfrac{9}{4}+\dfrac{36}{9}+\dfrac{100}{16}+\dfrac{225}{25}+\dfrac{441}{36} +\ldots + \frac{(1+2+\ldots+n)^2}{n^2} }\]
Evaluate \(\large{S_{16}}\).
by
Tanishq Varshney