7, 12, 22, 42, 82 Which of the following gives a rule for finding each term in the sequence after the first?
Correct answer: C. Double the preceding term and then subtract 2 from the result.
- A. Add 5 to the preceding number.
- B. Add 5 to the sum of all of the preceding terms.
- C. Double the preceding term and then subtract 2 from the result.
- D. Add 14 to the preceding term and divide that result by 2
Explanation
The correct rule to find the next term in the sequence is to double the preceding term and then subtract 2 from the result (Option C). This is verified as follows: Doubling 7 gives 14, and subtracting 2 gives 12, the next term. Continuing this process accurately predicts the sequence: 12 to 22, 22 to 42, and so on.Option A is incorrect because adding 5 works only for the first step, but fails subsequently. Option B is incorrect because adding 5 to the sum of all preceding terms does not produce the next term. Option D is incorrect because adding 14 and dividing by 2 gives results not consistent with the sequence.
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