For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence). 7,14,21,dots (1)/(2) -7 7 2

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For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).  7,14,21,dots  (1)/(2)  -7 7 2

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Identify Sequence Type: To determine whether the sequence is arithmetic or geometric, we need to look at the pattern of the numbers. In an arithmetic sequence, the difference between consecutive terms is constant. In a geometric sequence, the ratio between consecutive terms is constant.Calculate Difference: 1st & 2nd Terms: Let's check the difference between the first two terms: 14 - 7 = 7.Calculate Difference: 2nd & 3rd Terms: Now, let's check the difference between the second and third terms: 21 - 14 = 7.Confirm Arithmetic Sequence: Since the difference between consecutive terms is constant, we can conclude that the sequence is an arithmetic sequence with a common difference of 7.Check Other Options: We can also check the other options to ensure that they are not the common difference. The sequence does not decrease by 7, so -7 is not the common difference. The sequence does not increase by 2, so 2 is not the common difference. The sequence does not increase by half, so (1)/(2) is not the common difference.

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence). $\newline$ $7,14,21, \ldots$ $\newline$ $\frac{1}{2}$ $\newline$ $-7$ $\newline$ $7$ $\newline$ $2$

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For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).\newline7,14,21,… 7,14,21, \ldots 7,14,21,…\newline12 \frac{1}{2} 21​\newline−7 -7 −7\newline777\newline222

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence). $\newline$ $7,14,21, \ldots$ $\newline$ $\frac{1}{2}$ $\newline$ $-7$ $\newline$ $7$ $\newline$ $2$