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Find the sum of the first six terms of the sequence shown.

Find the sum of the first six terms of the sequence shown.-example-1

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Step-by-step 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.


\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}

Step 2: We add the first six terms.


5+15+45+135+405+1,215=1,820Answer

The sum of the first six terms of the sequence shown is 1,820.

Find the sum of the first six terms of the sequence shown.-example-1
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