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

User Kelley Robinson
by
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2 Answers

22 votes
22 votes

Answer:

13122

Explanation:

Term multiply by 3

First term is 6

Seven terms remain to be defined

then the 8th term is:

6 * 3⁷ = 6*2187

= 13122

User Pino
by
3.2k points
20 votes
20 votes
In this geometric sequence, it seems everything, starting at 6, is being multiplied by 3. Because of this pattern, we can multiply accordingly:

6 • 3 = 18
18 • 3 = 54
54 • 3 = 162
162 • 3 = 486
486 • 3 = 1,458
1,458 • 3 = 4,374
4,374 • 3 = 13,122

Beginning at 6 as the initial value, we will find that the 8th term of this geometric sequence is 13,122.
User Kishore A
by
3.1k points