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Question

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
3,6,12,ldots 
Answer Attemptiout of a
This is square  sequence and the square  is equal to

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 3,6,12,ldots Answer Attemptiout of a This is square sequence and the square is equal to

Solution

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Gustavo Avançado · Tutor por 1 anos

Resposta

if the sequence is arithmetic or geometric, we need to check if there is a constant difference or ratio between consecutive terms.In this case, the sequence is .Let's check if it is an arithmetic sequence by finding the difference between consecutive terms: Since the differences are not constant, the sequence is not arithmetic.Now let's check if it is a geometric sequence by finding the ratio between consecutive terms: Since the ratios are constant, the sequence is geometric.The common ratio in simplest form is .Therefore, the sequence is a geometric sequence with a common ratio of .