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What is the next number in the sequence: 5, 11, 23, 47, ?
95
91
99
89
95
Multiply each term by 2 and add 1 to get the next term in the sequence.
Multiply each term by 2 and add 1 to get the next term in the sequence.
Analyze the growth rate
Observe the progression of numbers: 5, 11, 23, 47. Each term roughly doubles from the previous one (5x2=10, 11x2=22, etc.), indicating a multiplicative relationship.
Identify the exact formula
Test the rule (term multiplied by 2 plus 1): 5x2+1=11, 11x2+1=23, and 23x2+1=47. The pattern holds consistently.
Calculate the missing term
Apply the same rule to the final given term: 47 multiplied by 2 equals 94, and adding 1 gives 95.
B: 91 is incorrect as it fails the +1 rule; C: 99 is incorrect because it exceeds the expected calculation; D: 89 is incorrect and falls short of the correct product.
A is correct because multiplying each consecutive term by 2 and adding 1 yields 47 x 2 + 1 = 95.
For fast-growing number series, always test combinations of multiplication and addition or subtraction before checking differences.
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