SOLUTION: 2, 6 , 18 , 54 , .... In the sequence above what would be the 8th term?

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Question 117752: 2, 6 , 18 , 54 , ....
In the sequence above what would be the 8th term?

Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The terms are
2 = 2
2x3 = 6
2x3x3 = 18
2x3x3x3 = 54
.
.
where n = 0,1,2,3...
The 8th term would be
by my calculator

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

First find the pattern:

The difference between and is
The difference between and is
The difference between and is

So,

Ratio:
Term 0:
General Term: where is element of (0,1,2,3,4,5,……)


the 8th term of the will be:

check:
General Term:

Term :


Term :

Term :

Term :

Term :

Term :


Term :

Term :

Term :




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