SOLUTION: Which of these sequences is a geometric sequence? 1, 2, 4, 7, 11, 16, 22, … 2, 4, 8, 14, 22, 38, … 3, 6, 9, 12, 15, 18, 21, … 3, 9, 27, 81, 343, 729, …

Algebra.Com
Question 937701: Which of these sequences is a geometric sequence?
1, 2, 4, 7, 11, 16, 22, …
2, 4, 8, 14, 22, 38, …
3, 6, 9, 12, 15, 18, 21, …
3, 9, 27, 81, 343, 729, …

Found 2 solutions by richard1234, MathLover1:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
3, 9, 27, 81, 243, 729, ..., (not 343)

Note: You may want to look up the definition of a "geometric sequence" as this question simply tests your understanding of the definition.

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

If the sequence is geometric, then there is a common ratio, we must think in terms of multiplication previous term by common ratio to get next term in sequence.
The r-value can be calculated by dividing terms in a geometric sequence.
The formula for calculating the Common Ratio is:




1.
, , , , , , , , …





there is no common ratio , a geometric sequence


2.
, , , , , …





there is no common ratio , a geometric sequence

3.
, , , , , , …




there is no common ratio , a geometric sequence

4.
9, 27, 81, 343, 729, …



there is no common ratio , a geometric sequence

since you have to have one solution, I think the term is wrong because first three terms have common ratio ,if we multiply we got and
and next one will be
there is common ratio , means the sequence , , , , , … a geometric sequence


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