Question

Write the Recursive rule for the geometric sequence
An=1072-1
8, 4, 2, 1, 1/2,...​

Answer 1

`\bf 8~~,~~\stackrel{8\cdot (1)/(2)}{4}~~,~~\stackrel{4\cdot (1)/(2)}{2}~~,~~\stackrel{2\cdot (1)/(2)}{1}~~,~~\stackrel{1\cdot (1)/(2)}{\cfrac{1}{2}} \\\\\\ a_n=\cfrac{1}{2}\cdot a_(n-1)\qquad \begin{cases} a_1=\textit{previous term}\\ a_n=\textit{current term}\\ a_1=\textit{first term}\\ \qquad 8 \end{cases}`