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The teacher gave 4040 gold stickers to the first student, 8080 gold stickers to the second student, 160160 gold stickers to the third student, and 320320 gold stickers 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 gave 4040 gold stickers to the first student, 8080 gold stickers to the second student, 160160 gold stickers to the third student, and 320320 gold stickers to the fourth student. 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 the teacher.\newlineFirst student: 4040 gold stickers\newlineSecond student: 8080 gold stickers\newlineThird student: 160160 gold stickers\newlineFourth student: 320320 gold stickers\newlineSequence: 40,80,160,32040, 80, 160, 320
  2. Check Arithmetic: Determine if the sequence is arithmetic by checking if the differences between consecutive terms are equal.\newline80−40=4080 - 40 = 40\newline160−80=80160 - 80 = 80\newline320−160=160320 - 160 = 160\newlineThe differences are not equal; therefore, the sequence is not arithmetic.
  3. Check Geometric: Determine if the sequence is geometric by checking if the ratios between consecutive terms are equal.\newline8040=2\frac{80}{40} = 2\newline16080=2\frac{160}{80} = 2\newline320160=2\frac{320}{160} = 2\newlineThe ratios are equal; therefore, the sequence is geometric.

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