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Aisha is drawing stars in her notebook. She draws stars on the first page, stars on the second page, stars on the third page, and stars on the fourth page. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Full solution
Q. Aisha is drawing stars in her notebook. She draws stars on the first page, stars on the second page, stars on the third page, and stars on the fourth page. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Identify Pattern: Identify the pattern in the number of stars drawn on each page.Aisha draws stars on the first page, stars on the second page, stars on the third page, and stars on the fourth page. To determine the type of sequence, we need to look at the differences between the numbers of stars on consecutive pages.
- Calculate Differences: Calculate the differences between the numbers of stars on consecutive pages.The difference between the second page and the first page is .The difference between the third page and the second page is .The difference between the fourth page and the third page is .
- Analyze Sequence: Analyze the differences to determine the type of sequence.Since the differences between the numbers of stars on consecutive pages are all the same (), this indicates that the sequence is an arithmetic sequence. An arithmetic sequence is one in which each term after the first is obtained by adding a constant difference to the preceding term.
