Find the 8th term of the geometric sequence 6, 18, 54, ...

13122

Step-by-step explanation:

6 x 3 = 18; 18 x 3 = 54; continue to do this 8 times and you get 13122!

a(8) = 6*3^7 = 13122

Step-by-step explanation:

Each new term is equal to the previous one times the common ratio, r, which in this case is 3.

The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).

In this particular case, we have a(n) = 6*(3)^(n -1).

The 8th term of this sequence is a(8) = 6(3)^(8 - 1), which works out to:

a(8) = 6*3^7 = 13122

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step-by-step explanation:

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