The given geometric series .
The sum of a geometric series is .
Where is first term and r is common ratio.
Method 1
\ (Substitute
)
(Subtract denominator:
)
(Evaluate power:
)
(Subtract numerator:
)
(Divide:
)
Method 2
\Find the terms by replacing n with 1, 2, 3, 4, 5, and 6.
\
The sum of the geometric series is .