What is the next term of the geometric sequence? 7,14,28", "

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term after the first is obtained by multiplying the previous term by a constant factor. This indicates that the sequence is geometric.Find Common Ratio: Identify the common ratio of the geometric sequence. To find the common ratio, we can divide the second term by the first term or the third term by the second term. 14 / 7 = 2 28 / 14 = 2 Common Ratio: 2Find Next Term: Find the next term in the sequence. To find the next term, we multiply the last known term by the common ratio. 28 * 2 = 56 Next Term: 56

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What is the next term of the geometric sequence?

7,14,28", "

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Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. $\newline$ In the given sequence, each term after the first is obtained by multiplying the previous term by a constant factor. This indicates that the sequence is geometric.
Find Common Ratio: Identify the common ratio of the geometric sequence. $\newline$ To find the common ratio, we can divide the second term by the first term or the third term by the second term. $\newline$ $\frac{14}{7} = 2$ $\newline$ $\frac{28}{14} = 2$ $\newline$ Common Ratio: $2$
Find Next Term: Find the next term in the sequence. $\newline$ To find the next term, we multiply the last known term by the common ratio. $\newline$ $28 \times 2 = 56$ $\newline$ Next Term: $56$