Question

What is the sum of { \\frac{3}{4}\\) + \\frac{5}{36}\\) + \\frac{7}{144}\\) + \\frac{9}{400}\\) + }.... + \\frac{19}{8100}\\) = ?
\\frac{9}{10}\\)
\\frac{11}{18}\\)
\\frac{99}{100}\\)
\\frac{80}{81}\\)

Answer 1

begin{align*}3^2+4^2&=5^2 \\ 9 + 16 &= 25\\ 25 &= 25\end{align*} ... \begin{align*}7^2+10^ 2&=c^2 \\ 49 + 100 &= c^2\\ 149 &= c^2\\ ...