Question 1080327
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<pre>
Using MS Excel

n      {{{3^n}}}      sum
---------------------

0	1	1
1	3	4
2	9	13
3	27	40
4	81	121
5	243	364
6	729	1093
7	2187	3280
8	6561	9841
9	19683	29524
10	59049	88573
11	177147	265720
12	531441	797161
13	1594323	2391484    <<<---<<< n = 13.
</pre>

Solved.