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Shawna is writing a poem. She writes 2828 words on the first line, 2424 words on the second line, 2020 words on the third line, and 1616 words on the fourth line. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. Shawna is writing a poem. She writes 2828 words on the first line, 2424 words on the second line, 2020 words on the third line, and 1616 words on the fourth line. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify sequence type: To determine the type of sequence, we need to look at the difference or ratio between consecutive terms.
  2. Calculate first difference: Let's calculate the difference between the first and second line: 2824=428 - 24 = 4.
  3. Calculate second difference: Now, calculate the difference between the second and third line: 2420=424 - 20 = 4.
  4. Calculate third difference: Next, calculate the difference between the third and fourth line: 2016=420 - 16 = 4.
  5. Conclude arithmetic sequence: Since the difference between consecutive lines is constant, we can conclude that the sequence is an arithmetic sequence.

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