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Eric is sorting pencils into boxes. He put pencils in the first box, pencils in the second box, pencils in the third box, and pencils in the fourth box. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
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Q. Eric is sorting pencils into boxes. He put pencils in the first box, pencils in the second box, pencils in the third box, and pencils in the fourth box. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Find Differences: To determine the type of sequence, we need to look at the differences or ratios between consecutive terms. Let's start by finding the differences between consecutive numbers of pencils.First box: pencilsSecond box: pencilsDifference:
- Identify Arithmetic Sequence: Now let's find the difference between the second and third boxes.Second box: pencilsThird box: pencilsDifference:
- Identify Arithmetic Sequence: Now let's find the difference between the second and third boxes.Second box: pencilsThird box: pencilsDifference: Next, we find the difference between the third and fourth boxes.Third box: pencilsFourth box: pencilsDifference:
- Identify Arithmetic Sequence: Now let's find the difference between the second and third boxes.Second box: pencilsThird box: pencilsDifference: Next, we find the difference between the third and fourth boxes.Third box: pencilsFourth box: pencilsDifference: Since the differences between consecutive terms are all the same (), this indicates that the sequence is an arithmetic sequence.
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