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The teacher is handing out note cards to her students. She gave 5858 note cards to the first student, 4141 note cards to the second student, 2424 note cards to the third student, and 77 note cards to the fourth student. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. The teacher is handing out note cards to her students. She gave 5858 note cards to the first student, 4141 note cards to the second student, 2424 note cards to the third student, and 77 note cards to the fourth student. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Find Differences: To determine the type of sequence, we need to check the differences or ratios between consecutive terms. Let's start by finding the differences between consecutive terms.\newlineDifference between first and second student's note cards: 58−41=1758 - 41 = 17\newlineDifference between second and third student's note cards: 41−24=1741 - 24 = 17\newlineDifference between third and fourth student's note cards: 24−7=1724 - 7 = 17
  2. Identify Arithmetic Sequence: Since the differences between consecutive terms are constant, this indicates that the sequence is an arithmetic sequence.

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