$\"\"$

The sequence is $\"\"$ .

The $\"\"$ term representation of the sequence is $\"\"$ .

The partial sum of the sequence for $\"\"$ terms is $\"\"$ .

Now tabulate the partial sum for different values of $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

The sum of first eight terms of the sequence is $\"\"$ .

$\"\"$

Observe the partial sum of sequence: $\"\"$ .

The partial sum appears to be converging to some finite value

So the sequence is convergent.

$\"\"$

The sequence is convergent.