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Answer :

Solution:

the sumatory of a geometric sequence is given by the following equation:

[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

In this case, we have a geometric sequence with first term 3, common ratio 3, and the number of terms 7, thus, we get:

[tex]S_7=\frac{a(r^n-1)}{r-1}=\frac{3(3^7-1)}{3-1}=3279[/tex]

So that, we can conclude that the correct answer is:

[tex]3279[/tex]