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The first term of the sequence is 3 and the common ratio is 3. Which these choices are correct

3, 6, 9, 12....
3. 9. 27.81....
3.9. 27.36....
None of these choices are correct.

User Charmander
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1 Answer

4 votes

Final answer:

The correct sequence with a first term of 3 and a common ratio of 3 is '3, 9, 27, 81,' which is a geometric sequence where each term is three times the previous term.

Step-by-step explanation:

The student is asking about a geometric sequence and which of the given choices correctly represents the sequence starting with 3 and having a common ratio of 3. The correct sequence should be one where each term is the previous term multiplied by the common ratio. Therefore, starting with 3, the second term would be 3 times 3 (which is 9), and the third term would be 9 times 3 (which is 27), and so on.

The correct choice from the options would be: 3, 9, 27, 81... Each succeeding term is three times the previous term, precisely as the definition of a geometric sequence with a common ratio of 3.

User Pushkr
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