Consider the geometric series ${\displaystyle \underset{n=1}{\overset{}{}}}9(cos(6){)}^n.$

$Ifwe$ write $itin$ the standard form ${\displaystyle \underset{n=1}{\overset{}{}}}a*r^n,$ then we'd have:

$a=,r=$

Determine whether the series converges $or$ diverges:

$If$ the series converges, give its exact value below. $Ifit$ diverges, enter "DNE":

${\displaystyle \underset{n=1}{\overset{}{}}}9(cos(6){)}^n=$