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Find the next number: 5, 11, 23, 47, ?
94
95
96
97
95
Multiply each term by 2 and add 1 to get the next term in the sequence (2x + 1 pattern).
Multiply each term by 2 and add 1 to get the next term in the sequence (2x + 1 pattern).
Analyze the first transition
From 5 to 11, the relation is 5 multiplied by 2 plus 1, which equals 11.
Verify the pattern across consecutive terms
Checking the next terms: 11 multiplied by 2 plus 1 equals 23, and 23 multiplied by 2 plus 1 equals 47.
Calculate the final missing term
Applying the same rule to the last given term: 47 multiplied by 2 plus 1 equals 94 plus 1, which is 95.
A: 94 is incorrect because it misses adding 1 after multiplying by 2. C: 96 and D: 97 are incorrect as they do not follow the consistent 2x + 1 arithmetic progression.
B is correct because multiplying 47 by 2 and adding 1 yields 95.
Always check for compound operations involving multiplication and addition or subtraction when simple differences fail to form an arithmetic progression.
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