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Which recursive formula can be used to define this sequence for ?Choices:(A) (B) (C) (D)
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Q. Which recursive formula can be used to define this sequence for ?Choices:(A) (B) (C) (D)
- Find Pattern: We need to find a pattern in the sequence to determine the recursive formula. The given sequence is Each term increases by from the previous term.
- Define Recursive Formula: To express this pattern as a recursive formula, we need to define the th term () based on the th term (). Since each term is more than the previous term, the recursive formula will be .
- Check Choices: Now we check the given choices to see which one matches our recursive formula. The correct choice should express that each term is more than the previous term.
- Incorrect Choice (A): Choice (A) is incorrect because it implies that each term is times the previous term, which is not the case.
- Incorrect Choice (B): Choice (B) is incorrect because it implies that each term is double the previous term plus , which is not the case.
- Correct Choice (C): Choice (C) is the correct choice because it matches our recursive formula, stating that each term is more than the previous term.
- Incorrect Choice (D): Choice (D) is incorrect because it implies that each term is a fraction of the previous term, which is not the case.
