Question

1, 1/4, 1/9, 1/16, 1/25.... write the explicit formula for this sequence

Answer 1

`\bf \stackrel{(1)/(1^2)}{1}~~,~~\stackrel{(1)/(2^2)}{\cfrac{1}{4}}~~,~~\stackrel{(1)/(3^2)}{\cfrac{1}{9}}~~,~~\stackrel{(1)/(4^2)}{\cfrac{1}{16}}~~,~~\stackrel{(1)/(5^2)}{\cfrac{1}{25}}~\hspace{7em}a_n=\cfrac{1}{n^2}`

Answer 2

`a_n=(1)/(n^2)`