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Shawna is writing a poem. She writes words on the first line, words on the second line, words on the third line, and words on the fourth line. What kind of sequence is this?
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Q. Shawna is writing a poem. She writes words on the first line, words on the second line, words on the third line, and words on the fourth line. What kind of sequence is this?
- Identify pattern: Step : Identify the pattern in the sequence of words per line.Shawna writes words on the first line, on the second, on the third, and on the fourth. Each line doubles the number of words from the previous line.Calculation: .Each term is times the previous term.
- Determine sequence type: Step : Determine the type of sequence.Since each term is obtained by multiplying the previous term by a constant (which is ), this sequence is a geometric sequence.Reasoning: A geometric sequence is defined by each term being a constant multiple of the previous term.
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