$S$ is a geometric sequence. The sum of the first 6 terms of S is equal to 9 times the sum of the first 3 terms of S. The $7^{\text{th}}$ term of S is 360. Find the $1^{\text{st}}$ term of S.
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$S$ is a geometric sequence.
The sum of the first 6 terms of S is equal to 9 times the sum of the first 3 terms of S.
The $7^{\text{th}}$ term of S is 360.
Find the $1^{\text{st}}$ term of S.