-of-the-following-explicit-formulas-correctly-generates-the-sequence-13-25-37-49

Question

Find the explicit formula for the sequence {13,25,37,49,⋯ }{\displaystyle\left\lbrace\frac{1}{3},\frac{2}{5},\frac{3}{7},\frac{4}{9},\cdots\right\rbrace}.

Accepted Answer

an=n2n+1\displaystyle a_n = \frac{n}{2n + 1}

Answer

an=2nn+1\displaystyle a_n = \frac{2n}{n + 1}

Answer

an=n+12n+1\displaystyle a_n = \frac{n + 1}{2n + 1}

Answer

an=nn+2\displaystyle a_n = \frac{n}{n + 2}

Find the explicit formula for the sequence {13,25,37,49,⋯}{\(\displaystyle\]\left\[\lbrace\]\frac{1}{3}\),\(\frac{2}{5}\),\(\frac{3}{7}\),\(\frac{4}{9}\),\(\cdots\[\right\]\rbrace\)}.

Find the explicit formula for the sequence ${\frac{1}{3}, \frac{2}{5}, \frac{3}{7}, \frac{4}{9}, \dots}$ .