Question

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

Answer 1

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

Answer 2

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.