申論題

13. The first two terms of an infinite geometric sequence, in order, are
3log₃x, 2log₃x, where x ＞ 0.
The first three terms of an arithmetic sequence, in order, are

Let s₆ be the sum of the first 6 terms of the arithmetic sequence. Given that s₆ is equal to one third of the sum of the infinite geometric sequence, find x.