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Nancy sent 1616 e-mails on Friday, 2525 e-mails on Saturday, 3636 e-mails on Sunday, and 4949 e-mails on Monday. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. Nancy sent 1616 e-mails on Friday, 2525 e-mails on Saturday, 3636 e-mails on Sunday, and 4949 e-mails on Monday. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify Sequence: Identify the sequence given by Nancy's e-mail sending pattern.\newlineNancy sent 1616 e-mails on Friday, 2525 e-mails on Saturday, 3636 e-mails on Sunday, and 4949 e-mails on Monday.\newlineSequence: 16,25,36,4916, 25, 36, 49
  2. Check Arithmetic: Check if the sequence is arithmetic by finding the differences between consecutive terms.\newline25−16=925 - 16 = 9\newline36−25=1136 - 25 = 11\newline49−36=1349 - 36 = 13\newlineThe differences between consecutive terms are not equal.
  3. Check Geometric: Check if the sequence is geometric by finding the ratios between consecutive terms. 2516≈1.5625\frac{25}{16} \approx 1.5625 3625=1.44\frac{36}{25} = 1.44 4936≈1.3611\frac{49}{36} \approx 1.3611 The ratios between consecutive terms are not equal.
  4. Determine Sequence Type: Determine the type of sequence based on the previous steps.\newlineSince the sequence has neither a common difference nor a common ratio, it is neither arithmetic nor geometric.

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