Divya and Miguel were asked to find an explicit formula for the sequence 80\,,\,40\,,\,20\,,\,10,...80,40,20 ,10,...80, comma, 40, comma, 20, comma, 10, comma, point, point, point, where the first term should be h(1)h(1)h, left parenthesis, 1, right parenthesis. Divya said the formula is h(n)=80\cdot\left(\dfrac{1}{2}\righ t)^{{n-1}}h(n)=80⋅( 2 1 ​ ) n−1 h, left parenthesis, n, right parenthesis, equals, 80, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript, and Miguel said the formula is h(n)=160\cdot\left(\dfrac{1}{2}\rig ht)^{{n}}h(n)=160⋅( 2 1 ​ ) n h, left parenthesis, n, right parenthesis, equals, 160, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript.