Explanation
Step 1: We find the first six terms of the sequence. In this case, we can obtain the next term by multiplying the previous term by 3.
[tex]\begin{gathered} a_1=5 \\ a_2=15 \\ a_3=45 \\ a_4=45\cdot3=135 \\ a_5=135\cdot3=405 \\ a_6=405\cdot3=1215 \end{gathered}[/tex]
Step 2: We add the first six terms.
[tex]5+15+45+135+405+1,215=1,820[/tex]Answer
The sum of the first six terms of the sequence shown is 1,820.
