Question 1096429
<br>The expression as you show it is<br>
(1+3^2+3^3+...+3^60)/(3^61-1)<br>
I suspect you have omitted one term from the numerator, so that the expression is supposed to be<br>
(1+3+3^2+3^3+...+3^60)/(3^61-1)<br>
If that is indeed what the expression is supposed to be then the formula for the sum of a finite geometric series tells us that the numerator is equivalent to
{{{(3^61-1)/(3-1) = (3^61-1)/2}}}
and so the entire expression is equal to
{{{((3^61-1)/2)/(3^61-1) = 1/2}}}