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Warren is writing a poem. He writes 44 words on the first line, 88 words on the second line, 1616 words on the third line, and 3232 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. Warren is writing a poem. He writes 44 words on the first line, 88 words on the second line, 1616 words on the third line, and 3232 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 Pattern: Identify the pattern in the sequence.\newlineWarren writes 44 words on the first line, 88 words on the second line, 1616 words on the third line, and 3232 words on the fourth line. To determine the type of sequence, we need to look at the relationship between consecutive terms.
  2. Check Arithmetic: Check if the sequence is arithmetic.\newlineIn an arithmetic sequence, the difference between consecutive terms is constant. Let's check the differences:\newline84=48 - 4 = 4\newline168=816 - 8 = 8\newline3216=1632 - 16 = 16\newlineThe differences are not constant, so the sequence is not arithmetic.
  3. Check Geometric: Check if the sequence is geometric.\newlineIn a geometric sequence, the ratio between consecutive terms is constant. Let's check the ratios:\newline84=2\frac{8}{4} = 2\newline168=2\frac{16}{8} = 2\newline3216=2\frac{32}{16} = 2\newlineThe ratios are constant, so the sequence is geometric.

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