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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2,6, 18,... Find the 8th term.

User Chet Haase
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1 Answer

3 votes

Answer:

4,374

Step-by-step explanation:

Given the sequence: 2, 6, 18, ...

If we study the pattern we observe that:


\begin{gathered} (6)/(2)=3 \\ (18)/(6)=3 \end{gathered}

This is a geometric sequence with:

• The first term, a=2

,

• Common Ratio, r=3

The nth term of a geometric sequence is obtained using the formula:


U_n=ar^(n-1)

Therefore, the 8th term will be:


\begin{gathered} U_8=2*3^(8-1) \\ =2*3^7 \\ =4374 \end{gathered}

The 8th term of the sequence is 4,374.

User Kissy
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