7, 12, 22, 42, 82 Which of the following gives a rule for finding each term in the sequence after the first?

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.